Hausdorff operators defined by measures on p-adic linear spaces and their norms

P-Adic Numbers Ultrametric Analysis and Applications ◽

10.1134/s2070046615030036 ◽

2015 ◽

Vol 7 (3) ◽

pp. 238-244

Author(s):

S. S. Volosivets

Keyword(s):

Linear Spaces ◽

Hausdorff Operators

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Hausdorff operators on p-adic linear spaces and their properties in Hardy, BMO, and Hölder spaces

Mathematical Notes ◽

10.1134/s0001434613030048 ◽

2013 ◽

Vol 93 (3-4) ◽

pp. 382-391 ◽

Author(s):

S. S. Volosivets

Keyword(s):

Hölder Spaces ◽

Linear Spaces ◽

Hausdorff Operators ◽

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Introduction to the Analysis of Normed Linear Spaces

10.1017/cbo9781139168465 ◽

2000 ◽

Author(s):

J. R. Giles

Keyword(s):

Linear Spaces ◽

Normed Linear Spaces

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Operator approach for orthogonality in linear spaces

Tbilisi Mathematical Journal ◽

10.32513/tbilisi/1546570889 ◽

2018 ◽

Vol 11 (4) ◽

pp. 103-112

Author(s):

Mahdi Iranmanesh ◽

Maryam Saeedi Khojasteh

Keyword(s):

Operator Approach ◽

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Atomic Decompositions of Fuzzy Normed Linear Spaces for Wavelet Applications

Informatica ◽

10.15388/informatica.2014.33 ◽

2014 ◽

Vol 25 (4) ◽

pp. 643-662 ◽

Author(s):

Sorin Nădăban ◽

Ioan Dzitac

Keyword(s):

Atomic Decompositions ◽

Linear Spaces ◽

Normed Linear Spaces ◽

Wavelet Applications

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Weighted estimates for commutators of Hausdorff operators on the Heisenberg group

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika ◽

10.26907/0021-3446-2020-2-39-62 ◽

2020 ◽

pp. 39-62

Author(s):

Nguyen Minh Chuong ◽

◽

Dao Van Duong ◽

Nguyen Duc Duyet ◽

◽

...

Keyword(s):

Heisenberg Group ◽

Weighted Estimates ◽

Hausdorff Operators

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Sub-normed Z-linear Spaces on Commutative Semi-group

Acta Analysis Functionalis Applicata ◽

10.3724/sp.j.1160.2012.001570 ◽

2012 ◽

Vol 14 (2) ◽

pp. 157

Author(s):

Yanqiu WANG ◽

Huaxin ZHAO

Keyword(s):

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ORTHOGONALITIES IN LINEAR SPACES AND DIFFERENCE OPERATORS

Real Analysis Exchange ◽

10.2307/44153047 ◽

1999 ◽

Vol 25 (1) ◽

pp. 111 ◽

Author(s):

Ger

Keyword(s):

Difference Operators ◽

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Spectral properties of some unions of linear spaces

Journal of Functional Analysis ◽

10.1016/j.jfa.2021.108985 ◽

2021 ◽

pp. 108985

Author(s):

Chun-Kit Lai ◽

Bochen Liu ◽

Hal Prince

Keyword(s):

Spectral Properties ◽

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The unboundedness of Hausdorff operators on quasi‐Banach spaces

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7716 ◽

2021 ◽

Author(s):

Weichao Guo ◽

Jianmiao Ruan ◽

Guoping Zhao

Keyword(s):

Banach Spaces ◽

Hausdorff Operators

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Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group

Open Mathematics ◽

10.1515/math-2020-0175 ◽

2020 ◽

Vol 18 (1) ◽

pp. 496-511

Author(s):

Amna Ajaib ◽

Amjad Hussain

Keyword(s):

Heisenberg Group ◽

Herz Spaces ◽

Hausdorff Operator ◽

Hausdorff Operators

Abstract In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.

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