Found 92 Documents (Results 1–92)
Singular integrals with product kernels associated with mixed homogeneities and Hardy spaces. (English) Zbl 07870766
Lipschitz and Triebel-Lizorkin spaces, commutators in Dunkl setting. (English) Zbl 1534.42027
Reviewer: Guorong Hu (Nanchang)
Maximal operator, Cotlar’s inequality and pointwise convergence for singular integral operators in Dunkl setting. (English) Zbl 1512.42022
Reviewer: Krzysztof Stempak (Wrocław)
Maximal functions, Littlewood-Paley theory, Riesz transforms and atomic decomposition in the multi-parameter flag setting. (English) Zbl 1498.42002
Memoirs of the American Mathematical Society 1373. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5345-9/pbk; 978-1-4704-7227-6/ebook). v, 102 p. (2022).
Reviewer: Krzysztof Stempak (Wrocław)
Atomic decomposition of product Hardy spaces via wavelet bases on spaces of homogeneous type. (English) Zbl 1482.42061
Besov and Triebel-Lizorkin spaces on spaces of homogeneous type with applications to boundedness of Calderón-Zygmund operators. (English) Zbl 1489.46044
Reviewer: Wen Yuan (Beijing)
Construction of frames using Calderón-Zygmund operator theory. (English) Zbl 1490.42032
Hirn, Matthew (ed.) et al., Excursions in harmonic analysis, Volume 6. In honor of John Benedetto’s 80th birthday. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 145-162 (2021).
Boundedness of singular integral operators on local Hardy spaces and dual spaces. (English) Zbl 1479.42061
Reviewer: Guorong Hu (Nanchang)
Geometric characterizations of embedding theorems: for Sobolev, Besov, and Triebel-Lizorkin spaces on spaces of homogeneous type – via orthonormal wavelets. (English) Zbl 1491.46026
Relations between product and flag Hardy spaces. (English) Zbl 1471.42034
Reviewer: Mohammed El Aïdi (Bogotá)
Boundedness of Monge-Ampère singular integral operators on Besov spaces. (English) Zbl 1458.42013
Reviewer: Yogesh Sharma (Sardarpura)
A note on weak factorization of a Meyer-type Hardy space via a Cauchy integral operator. (English) Zbl 1443.42012
Boundedness of singular integrals with flag kernels on weighted flag Hardy spaces. (English) Zbl 1434.42017
A complete real-variable theory of Hardy spaces on spaces of homogeneous type. (English) Zbl 1427.42026
Reviewer: Elijah Liflyand (Ramat-Gan)
Singular integrals associated with Zygmund dilations. (English) Zbl 1430.42017
Reviewer: Qingying Xue (Beijing)
Marcinkiewicz multipliers and Lipschitz spaces on Heisenberg groups. (English) Zbl 1418.42029
Reviewer: Włodzimierz Łenski (Poznań)
Weighted endpoint estimates for singular integral operators associated with Zygmund dilations. (English) Zbl 1430.42018
Reviewer: Javier Soria (Madrid)
Hardy and Carleson measure spaces associated with operators on spaces of homogeneous type. (English) Zbl 1395.42060
Hardy space theory on spaces of homogeneous type via orthonormal wavelet bases. (English) Zbl 1390.42030
Geometry and Hardy spaces on spaces of homogeneous type in the sense of Coifman and Weiss. (English) Zbl 1397.42013
Reviewer: Koichi Saka (Akita)
\(Tb\) theorem on product spaces. (English) Zbl 1371.42014
MSC:
42B20
Boundedness of composition operators associated with mixed homogeneities on Lipschitz spaces. (English) Zbl 1368.42014
Reviewer: Dachun Yang (Beijing)
Criterions of the \(L^2\) boundedness and sharp endpoint estimates for singular integral operators on product spaces of homogeneous type. (English) Zbl 1362.42029
Criterion of the boundedness of singular integrals on spaces of homogeneous type. (English) Zbl 1350.42027
Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group. (English) Zbl 1318.42026
Reviewer: Dachun Yang (Beijing)
Boundedness of singular integrals in Journé’s class on weighted multiparameter Hardy spaces. (English) Zbl 1302.42024
Hardy spaces associated with different homogeneities and boundedness of composition operators. (English) Zbl 1291.42018
Reviewer: Kôzô Yabuta (Nishinomiya)
Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type. (English) Zbl 1275.42035
Reviewer: Kôzô Yabuta (Nishinomiya)
Boundedness criterion of Journé’s class of singular integrals on multiparameter Hardy spaces. (English) Zbl 1268.42024
Reviewer: Javier Soria (Barcelona)
Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\). (English) Zbl 1271.42017
Reviewer: Petr Gurka (Praha)
Atomic decomposition and boundedness of operators on weighted Hardy spaces. (English) Zbl 1271.42030
Reviewer: Zhibo Lu (Zhengzhou)
Para-accretive functions and Hardy spaces. (English) Zbl 1266.42053
Reviewer: Hussain Al-Qassem (Doha)
MSC:
42B30
T1 theorem on product Carnot-Caratheodory spaces. arXiv:1209.6236
Preprint, arXiv:1209.6236 [math.FA] (2012).
\(H^p\to H^p\) boundedness implies \(H^p\to L^p\) boundedness. (English) Zbl 1225.42014
Reviewer: Kôzô Yabuta (Nishinomiya)
Duality of multiparameter Hardy spaces \(H^{p}\) on spaces of homogeneous type. (English) Zbl 1213.42073
Reviewer: Oscar Blasco (Valencia)
Boundedness of operators on Hardy spaces. (English) Zbl 1209.42013
Reviewer: Yang Dachun (Beijing)
Some recent works on multiparameter Hardy space theory and discrete Littlewood-Paley analysis. (English) Zbl 1201.42016
Bian, Baojun (ed.) et al., Trends in partial differential equations. Selected papers of the international conference on elliptic and parabolic equations and applications, Hangzhou, China, August 2008. Dedicated to Guangchang Dong on the occasion of his 80th birthday. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-142-1/pbk). Advanced Lectures in Mathematics (ALM) 10, 99-191 (2010).
Reviewer: Ming Xu (Guangzhou)
Discrete Calderón’s identity, atomic decomposition and boundedness criterion of operators on multiparameter Hardy spaces. (English) Zbl 1193.42090
Reviewer: Liu Yu (Beijing)
Calderón-Zygmund operators on product Hardy spaces. (English) Zbl 1197.42006
Reviewer: Ming Xu (Guangzhou)
A theory of Besov and Triebel-Lizorkin spaces on metric measure spaces modeled on Carnot-Carathéodory spaces. (English) Zbl 1193.46018
The boundedness of Calderón-Zygmund operators on \(H^p_b\) spaces. (Chinese. English summary) Zbl 1174.42012
Discrete Littlewood-Paley-Stein theory and multi-parameter Hardy spaces associated with flag singular integrals. arXiv:0801.1701
Preprint, arXiv:0801.1701 [math.CA] (2008).
Harmonic analysis and PDEs. (English) Zbl 1254.42024
Littlewood-Paley characterizations for Hardy spaces on spaces of homogeneous type. (English) Zbl 1179.42016
Factorization theorem for product Hardy spaces. (English) Zbl 1133.42039
Reviewer: Hung Viet Le (Weatherford)
Algebra of Calderón-Zygmund operators associated to para-accretive functions. (English) Zbl 1105.42009
Besov spaces with non-doubling measures. (English) Zbl 1091.42017
Reviewer: Joseph Lakey (Las Cruces)
Inhomogeneous discrete Calderón reproducing formulae associated to para-accretive functions on metric measure spaces. (English) Zbl 1112.43007
Reviewer: Hung Viet Le (Weatherford)
\(T1\) theorem for Besov and Triebel-Lizorkin spaces. (English) Zbl 1092.42012
Reviewer: Maria J. Carro (Barcelona)
A note on the boundedness of Calderón-Zygmund operators on Hardy spaces. (English) Zbl 1077.42009
Reviewer: Meng Wang (Hangzhou)
Inhomogeneous Plancherel-Pólya inequalities on spaces of homogeneous type and their applications. (English) Zbl 1062.43021
Reviewer: Yuri I. Karlovich (Cuernavaca)
Algebra of Calderón-Zygmund operators on spaces of homogeneous type. (English) Zbl 1045.43013
Reviewer: Hans Triebel (Jena)
Some new spaces of Besov and Triebel-Lizorkin type on homogeneous spaces. (English) Zbl 1032.42025
Reviewer: Maria J.Carro (Barcelona)
Embedding theorem on spaces of homogeneous type. (English) Zbl 1032.42024
Reviewer: Maria J.Carro (Barcelona)
New characterizations and applications of inhomogeneous Besov and Triebel-Lizorkin spaces on homogeneous type spaces and fractals. (English) Zbl 1019.43006
Reviewer: Jean Ludwig (Metz)
Smooth molecular decompositions of functions and singular integral operators. (English) Zbl 0994.42009
Mem. Am. Math. Soc. 742, 74 p. (2002).
Reviewer: Richard A.Zalik (Auburn University)
Inhomogeneous discrete Calderón reproducing formulas for spaces of homogeneous type. (English) Zbl 0991.43004
Reviewer: Kozo Yabuta (Nishinomiya)
Cotlar-Stein lemma and the \(Tb\) theorem. (English) Zbl 0973.42008
Reviewer: L.Rodrí guez-Mesa (La Laguna-Tenerife)
Discrete Calderón-type reproducing formula. (English) Zbl 0978.42010
Reviewer: Raymond Johnson (College Park)
Inhomogeneous Besov and Triebel-Lizorkin spaces on spaces of homgeneous type. (English) Zbl 0957.46025
Reviewer: Vladimir Ďurikovič (Bratislava)
Plancherel-Pólya type inequality on spaces of homogeneous type and its applications. (English) Zbl 0920.42011
Reviewer: R.Johnson (College Park)
Inhomogeneous Calderón reproducing formula on spaces of homogeneous type. (English) Zbl 0915.42010
Reviewer: Terence Tao (Los Angeles)
A characterization of Hilbert spaces and the vector-valued Littlewood-Paley theorem. (English) Zbl 0892.46034
Reviewer: V.Tarieladze (Tbilisi)
Embedding theorem on spaces of homogeneous type. (English) Zbl 0890.46020
Kalton, Nigel (ed.) et al., Interaction between functional analysis, harmonic analysis, and probability. Proceedings of a conference held at the University of Missouri, Columbia, MO, USA, May 29-June 3, 1994. New York, NY: Marcel Dekker. Lect. Notes Pure Appl. Math. 175, 187-197 (1996).
Reviewer: P.Gurka (Praha)
Calderón-Zygmund operator theory and function spaces. (English) Zbl 0893.42006
Cheng, Minde (ed.) et al., Harmonic analysis in China. Dordrecht: Kluwer Academic Publishers. Math. Appl., Dordr. 327, 55-79 (1995).
Reviewer: R.Rochberg (St.Louis)
A new atomic decomposition for the Triebel-Lizorkin spaces. (English) Zbl 0849.46023
Marcantognini, S. A. M. (ed.) et al., Harmonic analysis and operator theory. A conference in honor of Mischa Cotlar, January 3-8, 1994, Caracas, Venezuela. Proceedings. Providence, RI: American Mathematical Society. Contemp. Math. 189, 235-249 (1995).
Reviewer: Long Ruilin (Beijing)
Function spaces on spaces of homogeneous type. (English) Zbl 0849.46024
Fefferman, Charles (ed.) et al., Essays on Fourier analysis in honor of Elias M. Stein. Proceedings of the Princeton conference on harmonic analysis held at Princeton Univ., Princeton, NJ, USA, May 13-17, 1991 in honor of Elias M. Stein’s 60th birthday. Princeton, NJ: Princeton Univ. Press. Princeton Math. Ser. 42, 211-224 (1995).
Reviewer: Long Ruilin (Beijing)
The embedding theorem for the Besov and Triebel-Lizorkin spaces on spaces of homogeneous type. (English) Zbl 0830.42012
Reviewer: S.V.Kislyakov (St.Peterburg)
Littlewood-Paley theory on spaces of homogeneous type and the classical function spaces. (English) Zbl 0806.42013
Mem. Am. Math. Soc. 530, 126 p. (1994).
Reviewer: A.Seeger (Madison)
Calderón-type reproducing formula and the \(Tb\) theorem. (English) Zbl 0797.42009
Reviewer: Long Ruilin (Beijing)
\(T1\) theorems for Besov and Triebel-Lizorkin spaces. (English) Zbl 0779.42010
Reviewer: K.Yabuta (Nara)
\(H^ p\) boundedness of Calderón-Zygmund operators for product domains. (English) Zbl 0790.42007
Cheng, M.-T. (ed.) et al., Harmonic analysis. Proceedings of the special program at the Nankai Institute of Mathematics, Tianjin, PR China, March- July, 1988. Berlin etc.: Springer-Verlag. Lect. Notes Math. 1494, 54-67 (1991).
Reviewer: Long Ruilin (Beijing)
On a generalized paraproduct defined by non-convolution. (English) Zbl 0792.42005
Cheng, M.-T. (ed.) et al., Harmonic analysis. Proceedings of the special program at the Nankai Institute of Mathematics, Tianjin, PR China, March- July, 1988. Berlin etc.: Springer-Verlag. Lect. Notes Math. 1494, 46-53 (1991).
Reviewer: P.Gurka (Praha)
MSC:
42B20
Para-accretive functions, the weak boundedness property and the Tb theorem. (English) Zbl 0723.42005
Reviewer: K.Yabuta (Nara)
MSC:
42B20
Riesz potential operators on certain Hardy-type spaces \(H_ 0^{p,q,s}\) \((R^ n)\). (English) Zbl 0669.42011
Reviewer: M.Krbee
Interpolation theorems on certain Hardy-type spaces. (English) Zbl 0598.42017
Reviewer: R.Precup
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