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Kumar, Vishvesh; Restrepo, Joel E.

Titchmarsh theorem by modulus of continuity for the deformed Hankel-Lipschitz classes. (English) Zbl 07917941

Ruzhansky, Michael (ed.) et al., Extended abstracts MWCAPDE 2023. Methusalem workshop on classical analysis and partial differential equations. Selected papers, Ghent, Belgium, February 27 – March 1, 2023. Cham: Birkhäuser. Trends Math., Res. Perspect. Ghent Anal. PDE Cent. 1, 79-85 (2024).

MSC: 26A16 42A38 46E15

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Bou Dagher, E.; Zegarliński, B.

Coercive inequalities on Carnot groups: taming singularities. (English) Zbl 07873301

Anal. Math. Phys. 14, No. 4, Paper No. 76, 36 p. (2024).

MSC: 26Dxx 46Exx 60Jxx

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Bouzeffour, Fethi; Jedidi, Wissem

On the fractional Dunkl-Laplacian. (English) Zbl 1539.42009

Fract. Calc. Appl. Anal. 27, No. 1, 433-457 (2024).

MSC: 42B10 26A33 33C67 44A45 44A40

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Negzaoui, Selma; Yousfi, Nesrin

Inequality for a modified Struve transform. (English) Zbl 1532.42006

Integral Transforms Spec. Funct. 35, No. 2, 95-112 (2024).

MSC: 42A38 44A20 26D10 33C10

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Dang, Pei; Mai, Weixiong

Improved Caffarelli-Kohn-Nirenberg inequalities and uncertainty principle. (English) Zbl 1531.42014

J. Geom. Anal. 34, No. 3, Paper No. 70, 26 p. (2024).

MSC: 42B10 81Q10 46E35 26D10

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Bouzeffour, Fethi; Jedidi, Wissem

Fractional Riesz-Feller type derivative for the one dimensional Dunkl operator and Lipschitz condition. (English) Zbl 1541.26018

Integral Transforms Spec. Funct. 35, No. 1, 49-60 (2024).

MSC: 26A33 42A38 33C67

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Kumar, Vishvesh; Restrepo, Joel E.; Ruzhansky, Michael

Asymptotic estimates for the growth of deformed Hankel transform by modulus of continuity. (English) Zbl 07783592

Result. Math. 79, No. 1, Paper No. 22, 17 p. (2024).

MSC: 26A16 42A38 46E15

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Mejjaoli, Hatem

Generalized translation operator and uncertainty principles associated with the deformed Stockwell transform. (English) Zbl 1531.42018

Rev. Unión Mat. Argent. 65, No. 2, 375-423 (2023).

MSC: 42B10 26D10 43A15 43A32 44A15 33C52

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Ghobber, Saifallah

Heisenberg-type uncertainty inequalities for the Dunkl wavelet transform. (English) Zbl 1517.42035

Indian J. Pure Appl. Math. 54, No. 1, 224-240 (2023).

MSC: 42C40 42B10 33C80 44A15 26D10

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Li, Wenxin; Lian, Pan

The Fourier transform associated to the \(k\)-hyperbolic Dirac operator. (English) Zbl 07687966

Adv. Appl. Clifford Algebr. 33, No. 3, Paper No. 26, 20 p. (2023).

MSC: 47E07 43A32 42A38 15A66 17B10 17B65 33C45 33C80 33C50 26A33

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Dao Nguyen Anh; Nguyen Tuan Duy; Lam Hoang Nguyen; Nguyen Van Phong

Hardy-Sobolev inequalities with Dunkl weights. (English) Zbl 07686829

Acta Math. Vietnam. 48, No. 1, 133-149 (2023).

MSC: 26D10 35A23 42B35

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Volosivets, Sergey

Fourier-Dunkl transforms and generalized symmetric Lipschitz classes. (English) Zbl 1504.42015

J. Math. Anal. Appl. 520, No. 1, Article ID 126895, 12 p. (2023).

MSC: 42A38 42B35 44A15 26A16

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Ben Said, Salem; Negzaoui, Selma

Norm inequalities for maximal operators. (English) Zbl 1509.42029

J. Inequal. Appl. 2022, Paper No. 134, 18 p. (2022).

MSC: 42B25 47A30 26D15

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Hardy inequalities for fractional \((k,a)\)-generalized harmonic oscillators. (English) Zbl 1521.22016

J. Lie Theory 32, No. 4, 1007-1023 (2022).

MSC: 22E46 33C45 33C55 43A32 26A33 47D03

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Logarithmic Sobolev inequalities for Dunkl operators with applications to functional inequalities for singular Boltzmann-Gibbs measures. (English) Zbl 1498.60081

Electron. J. Probab. 27, Paper No. 89, 25 p. (2022).

MSC: 60E15 26D10 35A23 42B10 43A32 46N55

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Swarup Mondal, Shyam; Poria, Anirudha

Weighted norm inequalities for the Opdam-Cherednik transform. (English) Zbl 1507.44002

Int. J. Math. 33, No. 9, Article ID 2250066, 21 p. (2022).

MSC: 44A15 43A32 33C45 26D10

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Wang, Jianxiong

\(L^p\) Hardy’s identities and inequalities for Dunkl operators. (English) Zbl 1505.46034

Adv. Nonlinear Stud. 22, 416-435 (2022).

MSC: 46E35 33C52 26D10

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Liu, Rui; Zhao, Fayou

Boundedness of bilinear Dunkl-Hausdorff operators on products of Lebesgue and Morrey spaces. (English) Zbl 07582202

Integral Transforms Spec. Funct. 33, No. 9, 747-760 (2022).

MSC: 47G10 44A15 42B35 26D15

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Mukherjee, Suman; Parui, Sanjay

Weighted inequalities for multilinear fractional operators in Dunkl setting. (English) Zbl 1491.42009

J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 34, 31 p. (2022).

MSC: 42B10 42B25 47G10 26D15

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Tang, Li; Chen, Haiting; Shen, Shoufeng; Jin, Yongyang

Hardy-Rellich type inequalities associated with Dunkl operators. (English) Zbl 1497.26023

Chin. Ann. Math., Ser. B 43, No. 2, 281-294 (2022).

MSC: 26D10 20F55 42B37

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Anoop, V. P.; Parui, Sanjay

Hardy-Littlewood-Sobolev inequality for upper half space. (English) Zbl 1486.42008

Ann. Math. Blaise Pascal 28, No. 2, 117-140 (2022).

MSC: 42B10 42B35 42B37 26D15

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Mahato, Kanailal; Singh, Prashant

Hardy type uncertainty principles for fractional Hankel transform. (English) Zbl 1495.44005

J. Pseudo-Differ. Oper. Appl. 13, No. 2, Paper No. 19, 11 p. (2022).

MSC: 44A15 42A38 43A32 26D10 33C45

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Ghobber, Saifallah

Sharp Shannon’s and logarithmic Sobolev inequalities for the Hankel transform. (English) Zbl 1478.26013

J. Math. Anal. Appl. 507, No. 1, Article ID 125740, 26 p. (2022).

MSC: 26D10 42B10 46E35

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Sheng, Changtao; Ma, Suna; Li, Huiyuan; Wang, Li-Lian; Jia, Lueling

Nontensorial generalised Hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators. (English) Zbl 1486.65209

ESAIM, Math. Model. Numer. Anal. 55, No. 5, 2141-2168 (2021).

MSC: 65M70 65M06 65N35 65N25 35Q40 33C45 26A33 35R11 81Q05

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Mustapha, Sami; Sifi, Mohamed

Relative Nash-type and \(L^2\)-Sobolev inequalities in Dunkl setting. (English) Zbl 1478.35010

Complex Anal. Oper. Theory 15, No. 8, Paper No. 116, 19 p. (2021).

MSC: 35A23 26D10 35J05 35K08

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Hardy-type inequalities for Dunkl operators with applications to many-particle Hardy inequalities. (English) Zbl 1478.35011

Commun. Contemp. Math. 23, No. 6, Article ID 2050024, 25 p. (2021).

Reviewer: Meng Qu (Wuhu)

MSC: 35A23 26D10 42B10 43A32 70F10

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A variety of uncertainty principles for the Dunkl transform on \(\mathbb{R}^d\). (English) Zbl 1468.42009

Asian-Eur. J. Math. 14, No. 5, Article ID 2150077, 9 p. (2021).

MSC: 42B10 44A20 46G12 26D10

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Ibrahim, Rabha W.; Elobaid, Rafida M.; Obaiys, Suzan J.

A new model of economic order quantity associated with a generalized conformable differential-difference operator. (English) Zbl 1482.90014

Adv. Difference Equ. 2020, Paper No. 205, 11 p. (2020).

MSC: 90B05 90B30 90C29 90C46 26A33

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Kamoun, Lotfı; Selmi, Rim

Some uncertainty inequalities related to the multivariate Laguerre function. (English) Zbl 1448.42018

Turk. J. Math. 44, No. 3, 712-728 (2020).

MSC: 42B10 42A38 44A35 35K08 26D15

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Sobolev-type inequalities for Dunkl operators. (English) Zbl 1456.26019

J. Funct. Anal. 279, No. 7, Article ID 108695, 36 p. (2020).

Reviewer: Javier Soria (Madrid)

MSC: 26D10 42B10 43A32

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Anoop, V. P.; Parui, Sanjay

The Hardy inequality and fractional Hardy inequality for the Dunkl Laplacian. (English) Zbl 1439.26039

Isr. J. Math. 236, No. 1, 247-278 (2020).

Reviewer: George Stoica (Saint John)

MSC: 26D10

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Gorbachev, D. V.; Ivanov, V. I.

Fractional smoothness in \(L^p\) with Dunkl weight and its applications. (English) Zbl 1435.42007

Math. Notes 106, No. 4, 537-561 (2019).

Reviewer: Marcel G. de Bruin (Heemstede)

MSC: 42B10 47B38 33C45 33C52 26A15 41A17 41A27 46E30 46E35

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Anoop, V. P.; Parui, Sanjay

Hardy inequality and trace Hardy inequality for Dunkl gradient. (English) Zbl 1423.26034

Collect. Math. 70, No. 3, 367-398 (2019).

MSC: 26D15 26D10

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Higher order Riesz transforms for the Dunkl Ornstein-Uhlenbeck operator. (English) Zbl 1524.42068

Czech. Math. J. 69, No. 1, 257-273 (2019).

MSC: 42C20 26A33 42C10 43A15 47G40

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Ciaurri, Óscar; Roncal, Luz; Thangavelu, Sundaram

Hardy-type inequalities for fractional Powers of the Dunkl-Hermite operator. (English) Zbl 1435.26013

Proc. Edinb. Math. Soc., II. Ser. 61, No. 2, 513-544 (2018).

Reviewer: James Adedayo Oguntuase (Abeokuta)

MSC: 26D10 26A33 33C45 35A08 42C10 43A90

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Wróbel, Błażej

Approaching bilinear multipliers via a functional calculus. (English) Zbl 1405.42016

J. Geom. Anal. 28, No. 4, 3048-3080 (2018).

MSC: 42B15 47B38 26D10

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Mehrez, Khaled; El Kamel, Jamel

Dunkl completely monotonic functions. (English) Zbl 1384.26033

J. Difference Equ. Appl. 24, No. 2, 291-303 (2018).

MSC: 26A48 33C52 42A38

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Bouzeffour, Fethi

Fractional integration operator on some radial rays and intertwining for the Dunkl operator. (English) Zbl 1342.33019

Fract. Calc. Appl. Anal. 19, No. 3, 725-740 (2016).

MSC: 33C45 26A33 42A38

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Steinerberger, Stefan

An uncertainty principle on compact manifolds. (English) Zbl 1323.43006

J. Fourier Anal. Appl. 21, No. 3, 575-599 (2015).

Reviewer: Andreas Arvanitoyeorgos (Patras)

MSC: 43A85 26D15

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Boggarapu, Pradeep; Sundaram, Thangavelu

Mixed norm estimates for the Riesz transforms associated to Dunkl harmonic oscillators. (English) Zbl 1327.42031

Ann. Math. Blaise Pascal 22, No. 1, 89-120 (2015).

Reviewer: Krzysztof Stempak (Wrocław)

MSC: 42C10 47G40 26A33 43A90 42B20 42B35 33C45

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Dai, Feng; Xu, Yuan

The Hardy-Rellich inequality and uncertainty principle on the sphere. (English) Zbl 1319.46026

Constr. Approx. 40, No. 1, 141-171 (2014); erratum ibid. 42, No. 2, 181-182 (2015).

Reviewer: Sergey S. Volosivets (Saratov)

MSC: 46E35 26D10 42B10 42C10 33C45 33C55

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Ciaurri, Óscar; Varona, Juan L.

An uncertainty inequality for Fourier-Dunkl series. (English) Zbl 1179.42021

J. Comput. Appl. Math. 233, No. 6, 1499-1504 (2010).

MSC: 42C10 26D10

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Fitouhi, Ahmed; Bettaibi, Néji; Binous, Wafa; Elmonser, Hédi Ben

An uncertainty principle for the basic Bessel transform. (English) Zbl 1194.33016

Ramanujan J. 18, No. 2, 171-182 (2009).

MSC: 33D15 33D60 42A38 47A63 26D15 47B38

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Uncertainty principles for the Hankel transform. (English) Zbl 1122.44003

Integral Transforms Spec. Funct. 18, No. 5, 369-381 (2007).

Reviewer: Adem Kilicman (Mengabang Telipot)

MSC: 44A15 33C10 26D10

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Ranges and inversion formulas for the Dunkl intertwining operator and its dual. (English) Zbl 1100.42007

Integral Transforms Spec. Funct. 17, No. 5, 379-390 (2006).

Reviewer: Michael Voit (Dortmund)

MSC: 42B10 26A33 46F12

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Prestin, Jürgen; Quak, Ewald

Optimal functions for a periodic uncertainty principle and multiresolution analysis. (English) Zbl 0930.42019

Proc. Edinb. Math. Soc., II. Ser. 42, No. 2, 225-242 (1999).

Reviewer: Ewald Quak (Oslo)

MSC: 42C40 42A16 26D15

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Rösler, Margit

An uncertainty principle for the Dunkl transform. (English) Zbl 0939.33012

Bull. Aust. Math. Soc. 59, No. 3, 353-360 (1999).

Reviewer: Michael Voit (Tübingen)

MSC: 33C80 43A32 42C15 26D10

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