Bourgain, Jean; Mirek, Mariusz; Stein, Elias M.; Wright, James On a multi-parameter variant of the Bellow-Furstenberg problem. (English) Zbl 1533.37014 Forum Math. Pi 11, Paper No. e23, 64 p. (2023). Reviewer: Thomas B. Ward (Durham) MSC: 37A30 37A46 42A45 42B25 11L03 11L07 11L15 11P55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Ionescu, Alexandru D.; Magyar, Ákos; Mirek, Mariusz; Szarek, Tomasz Z. Polynomial sequences in discrete nilpotent groups of step 2. (English) Zbl 1543.37009 Adv. Nonlinear Stud. 23, Article ID 20230085, 24 p. (2023). MSC: 37A46 37A30 42B25 45P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Krause, Ben; Roos, Joris Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: \(\ell^p\) bounds for \(p > 1\). (English) Zbl 1522.42040 J. Funct. Anal. 285, No. 10, Article ID 110123, 19 p. (2023). MSC: 42B25 42B20 42B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ionescu, Alexandru D.; Magyar, Ákos; Mirek, Mariusz; Szarek, Tomasz Z. Polynomial averages and pointwise ergodic theorems on nilpotent groups. (English) Zbl 1514.37015 Invent. Math. 231, No. 3, 1023-1140 (2023). MSC: 37A30 37A46 22D40 37A15 28D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Słomian, Wojciech Oscillation estimates for truncated singular Radon operators. (English) Zbl 1504.42047 J. Fourier Anal. Appl. 29, No. 1, Paper No. 4, 22 p. (2023). MSC: 42B20 42B25 42B15 44A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Słomian, Wojciech Bootstrap methods in bounding discrete Radon operators. (English) Zbl 1504.44001 J. Funct. Anal. 283, No. 9, Article ID 109650, 30 p. (2022). Reviewer: Boris Rubin (Baton Rouge) MSC: 44A12 42B25 42B15 28D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Krause, Ben; Roos, Joris Discrete analogues of maximally modulated singular integrals of Stein-Wainger type. (English) Zbl 1491.42011 J. Eur. Math. Soc. (JEMS) 24, No. 9, 3183-3213 (2022). Reviewer: Ferit Gürbüz (Hakkari) MSC: 42B15 42B20 42B25 47G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saker, Samir H.; Krnić, Mario; Baleanu, Dumitru Some further properties of discrete Muckenhoupt and Gehring weights. (English) Zbl 1500.26017 J. Math. Inequal. 16, No. 1, 1-18 (2022). Reviewer: Wengui Yang (Sanmenxia) MSC: 26D15 39A12 40D25 × Cite Format Result Cite Review PDF Full Text: DOI
Gunawan, Hendra; Hakim, Denny Ivanal; Idris, Mochammad On inclusion properties of discrete Morrey spaces. (English) Zbl 1482.42060 Georgian Math. J. 29, No. 1, 37-44 (2022). MSC: 42B35 46A45 46B45 × Cite Format Result Cite Review PDF Full Text: DOI
Vishe, Pankaj A sparse equidistribution result for \((\operatorname{SL}(2,\mathbb{R})/\gamma_0)^n \). (English) Zbl 1489.37044 Trans. Am. Math. Soc. 375, No. 1, 669-694 (2022). Reviewer: Jayadev Athreya (Seattle) MSC: 37D40 37A44 37A25 37A30 22D40 11D72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kravitz, Noah; Steinerberger, Stefan The smoothest average: Dirichlet, Fejér and Chebyshev. (English) Zbl 1531.42005 Bull. Lond. Math. Soc. 53, No. 6, 1801-1815 (2021). MSC: 42A38 42A85 33C45 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saker, S. H.; Agarwal, R. P. Theory of discrete Muckenhoupt weights and discrete Rubio de Francia extrapolation theorems. (English) Zbl 1499.42100 Appl. Anal. Discrete Math. 15, No. 2, 295-316 (2021). MSC: 42B25 42B20 46E30 26D10 39A12 × Cite Format Result Cite Review PDF Full Text: DOI
Saker, S. H.; Rabie, S. S.; Agarwal, R. P. On discrete weighted Hardy type inequalities and properties of weighted discrete Muckenhoupt classes. (English) Zbl 1504.39013 J. Inequal. Appl. 2021, Paper No. 168, 19 p. (2021). MSC: 39A12 26D07 42B25 42C10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Ren, Xinyu; Zhang, Chao Boundedness of partial difference transforms for heat semigroups generated by discrete Laplacian. (English) Zbl 1477.42017 Semigroup Forum 103, No. 2, 622-640 (2021). MSC: 42B20 42B30 42B15 × Cite Format Result Cite Review PDF Full Text: DOI
Wainger, Stephen An introduction to the circle method of Hardy, Littlewood, and Ramanujan. (English) Zbl 1496.11128 J. Geom. Anal. 31, No. 9, 9113-9130 (2021). MSC: 11P55 11E25 11P32 11-02 × Cite Format Result Cite Review PDF Full Text: DOI
Bakas, Odysseas On a problem of Pichorides. (English) Zbl 1471.42015 J. Geom. Anal. 31, No. 7, 7455-7512 (2021); correction ibid. 31, No. 12, 12637-12639 (2021). MSC: 42A55 42B25 42B30 30H10 42A45 42B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Anderson, Theresa C.; Hu, Bingyang; Roos, Joris Sparse bounds for discrete singular Radon transforms. (English) Zbl 1480.44002 Colloq. Math. 165, No. 2, 199-217 (2021). Reviewer: David Zarnadze (Tbilisi) MSC: 44A12 42B20 42B15 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saker, S. H.; Osman, M. M.; O’Regan, D.; Agarwal, R. P. Hardy-type operators with general kernels and characterizations of dynamic weighted inequalities. (English) Zbl 1473.26032 Ann. Pol. Math. 126, No. 1, 55-78 (2021). Reviewer: Raghib Abu-Saris (Edmonton) MSC: 26D15 26A15 26D10 34A40 39A13 × Cite Format Result Cite Review PDF Full Text: DOI
Saker, S. H.; Rabie, S. S.; AlNemer, Ghada; Zakarya, M. On structure of discrete Muckenhoupt and discrete Gehring classes. (English) Zbl 1503.40005 J. Inequal. Appl. 2020, Paper No. 233, 18 p. (2020). MSC: 40D05 40D25 42C10 43A55 46A35 46B15 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Betancor, Jorge J.; Castro, Alejandro J.; Fariña, Juan C.; Rodríguez-Mesa, L. Discrete harmonic analysis associated with ultraspherical expansions. (English) Zbl 1472.39008 Potential Anal. 53, No. 2, 523-563 (2020). Reviewer: Raghib Abu-Saris (Edmonton) MSC: 39A12 39A70 39A14 42A38 42B25 42C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cardona, Duván; del Corral, César; Kumar, Vishvesh Dixmier traces for discrete pseudo-differential operators. (English) Zbl 1503.47065 J. Pseudo-Differ. Oper. Appl. 11, No. 2, 647-656 (2020). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47G30 58B34 47L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arcozzi, N.; Domelevo, K.; Petermichl, S. Discrete Hilbert transform à la Gundy-Varopoulos. (English) Zbl 1445.44004 Proc. Am. Math. Soc. 148, No. 6, 2433-2446 (2020). Reviewer: Ahmed I. Zayed (Chicago) MSC: 44A15 60G46 42A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mirek, Mariusz; Stein, Elias M.; Zorin-Kranich, Pavel Jump inequalities for translation-invariant operators of Radon type on \(\mathbb{Z}^d\). (English) Zbl 1436.42022 Adv. Math. 365, Article ID 107065, 57 p. (2020). MSC: 42B20 44A12 28D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dutta, Hemen; Das, Shilpa Multiplication operators on some Morrey spaces. (English) Zbl 1498.47087 Filomat 33, No. 16, 5051-5059 (2019). MSC: 47B90 47G10 42B35 × Cite Format Result Cite Review PDF Full Text: DOI
Temur, Faruk; Sert, Ezgi Discrete fractional integral operators with binary quadratic forms as phase polynomials. (English) Zbl 1435.44002 J. Funct. Anal. 277, No. 12, Article ID 108287, 27 p. (2019). MSC: 44A12 42B20 11E16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Saker, S. H.; Kubiaczyk, I. Higher summability and discrete weighted Muckenhoupt and Gehring type inequalities. (English) Zbl 1454.42017 Proc. Edinb. Math. Soc., II. Ser. 62, No. 4, 949-973 (2019). Reviewer: Esentay Alsynbaeva (Alma-Ata) MSC: 42B25 42C10 42A24 26D07 × Cite Format Result Cite Review PDF Full Text: DOI
Cardona, Duván Pseudo-differential operators on \(\mathbb{Z}^n\) with applications to discrete fractional integral operators. (English) Zbl 1423.42014 Bull. Iran. Math. Soc. 45, No. 4, 1227-1241 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 42B15 35S05 47G30 58J40 11P05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mirek, Mariusz; Stein, Elias M.; Trojan, Bartosz \(\ell^p(\mathbb{Z}^d)\)-estimates for discrete operators of Radon type: maximal functions and vector-valued estimates. (English) Zbl 1444.42026 J. Funct. Anal. 277, No. 8, 2471-2521 (2019). Reviewer: Javier Soria (Madrid) MSC: 42B25 42B15 11L03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Trojan, Bartosz Variational estimates for discrete operators modeled on multi-dimensional polynomial subsets of primes. (English) Zbl 07087161 Math. Ann. 374, No. 3-4, 1597-1656 (2019). MSC: 47-XX 37-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Gunawan, Hendra; Schwanke, Christopher The Hardy-Littlewood maximal operator on discrete Morrey spaces. (English) Zbl 1414.42028 Mediterr. J. Math. 16, No. 1, Paper No. 24, 12 p. (2019). Reviewer: Koichi Saka (Akita) MSC: 42B35 42B25 46A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bañuelos, Rodrigo; Kwaśnicki, Mateusz On the \(\ell^p\)-norm of the discrete Hilbert transform. (English) Zbl 1466.60156 Duke Math. J. 168, No. 3, 471-504 (2019). MSC: 60J45 60G42 60J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Saker, S. H.; Kubiaczyk, I. Reverse dynamic inequalities and higher integrability theorems. (English) Zbl 1404.26024 J. Math. Anal. Appl. 471, No. 1-2, 671-686 (2019). MSC: 26D15 26D10 26E70 × Cite Format Result Cite Review PDF Full Text: DOI
Krause, Ben; Lacey, Michael T. Sparse bounds for random discrete Carleson theorems. (English) Zbl 1405.42024 Baranov, Anton (ed.) et al., 50 years with Hardy spaces. A tribute to Victor Havin. Cham: Birkhäuser (ISBN 978-3-319-59077-6/hbk; 978-3-319-59078-3/ebook). Operator Theory: Advances and Applications 261, 317-332 (2018). MSC: 42B20 42A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gunawan, Hendra; Kikianty, Eder; Schwanke, Christopher Discrete Morrey spaces and their inclusion properties. (English) Zbl 1397.42011 Math. Nachr. 291, No. 8-9, 1283-1296 (2018). MSC: 42B35 46A45 46B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cladek, Laura; Henriot, Kevin; Krause, Ben; Łaba, Izabella; Pramanik, Malabika A discrete Carleson theorem along the primes with a restricted supremum. (English) Zbl 1395.42043 Math. Z. 289, No. 3-4, 1033-1057 (2018). MSC: 42B25 11A41 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mirek, Mariusz Square function estimates for discrete Radon transforms. (English) Zbl 1383.42014 Anal. PDE 11, No. 3, 583-608 (2018). Reviewer: Liviu Goraş (Iaşi) MSC: 42B20 42B25 11L07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ciaurri, Óscar; Gillespie, T. Alastair; Roncal, Luz; Torrea, José L.; Varona, Juan Luis Harmonic analysis associated with a discrete Laplacian. (English) Zbl 1476.39003 J. Anal. Math. 132, 109-131 (2017). MSC: 39A12 43A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mirek, Mariusz; Stein, Elias M.; Trojan, Bartosz \(\ell ^p\left(\mathbb {Z}^d\right)\)-estimates for discrete operators of Radon type: variational estimates. (English) Zbl 1397.42006 Invent. Math. 209, No. 3, 665-748 (2017). Reviewer: Javier Soria (Barcelona) MSC: 42B20 44A12 39A12 28D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mirek, Mariusz; Trojan, Bartosz Cotlar’s ergodic theorem along the prime numbers. (English) Zbl 1336.37010 J. Fourier Anal. Appl. 21, No. 4, 822-848 (2015). Reviewer: Christoph Aistleitner (Graz) MSC: 37A45 37A30 11K31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mirek, Mariusz \(\ell^p(\mathbb Z)\)-boundedness of discrete maximal functions along thin subsets of primes and pointwise ergodic theorems. (English) Zbl 1351.37029 Math. Z. 279, No. 1-2, 27-59 (2015). MSC: 37A30 37A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bober, Jonathan; Carneiro, Emanuel; Hughes, Kevin; Pierce, Lillian B. On a discrete version of Tanaka’s theorem for maximal functions. (English) Zbl 1245.42017 Proc. Am. Math. Soc. 140, No. 5, 1669-1680 (2012); corrigendum ibid. 143, No. 12, 5471-5473 (2015). Reviewer: Yang Dachun (Beijing) MSC: 42B25 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Magyar, Ákos; Stein, Elias M.; Wainger, Stephen Maximal operators associated to discrete subgroups of nilpotent Lie groups. (English) Zbl 1149.22009 J. Anal. Math. 101, 257-312 (2007). Reviewer: Martin Blümlinger (Wien) MSC: 22E25 43A80 × Cite Format Result Cite Review PDF Full Text: DOI
Kikuchi, Norio; Nakai, Eiichi; Tomita, Naohito; Yabuta, Kôzô; Yoneda, Tsuyoshi Calderón-Zygmund operators on amalgam spaces and in the discrete case. (English) Zbl 1125.43001 J. Math. Anal. Appl. 335, No. 1, 198-212 (2007). Reviewer: Michael J. Puls (New York) MSC: 43A15 47B37 × Cite Format Result Cite Review PDF Full Text: DOI
Ionescu, Alexandru D.; Stein, Elias M.; Magyar, Ákos; Wainger, Stephen Discrete Radon transforms and applications to ergodic theory. (English) Zbl 1139.42002 Acta Math. 198, No. 2, 231-298 (2007). Reviewer: Liviu Goras (Iaşi) MSC: 42B20 11L40 44A12 37A45 × Cite Format Result Cite Review PDF Full Text: DOI
Ionescu, Alexandru D.; Wainger, Stephen \(L^p\) boundedness of discrete singular Radon transforms. (English) Zbl 1158.42007 J. Am. Math. Soc. 19, No. 2, 357-383 (2006). MSC: 42B20 11L07 × Cite Format Result Cite Review PDF Full Text: DOI