Sharp weak bounds for p-adic Hardy operators on p-adic linear spaces

Hussain, Amjad; Sarfraz, Naqash; Gurbuz, Ferit

doi:10.31801/cfsuasmas.1076462

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Introduction and Statement Of Main Results1

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2022

2024

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Cited by 3 publications

(1 citation statement)

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“…If the limit exists. We now mention some of the previous works on harmonic analysis on the p-adic feld, see [2][3][4][5][6][7][8] and the references therein.…”

Section: Introduction and Statement Of Main Resultsmentioning

confidence: 99%

Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p‐Adic Vector Space

2022

Journal of Mathematics

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In this paper, we give characterization of a p -adic version of Lipschitz spaces in terms of the boundedness of commutators of maximal function in the context of the p -adic version of Lebesgue spaces and Morrey spaces, where the symbols of the commutators belong to the Lipschitz spaces. A useful tool is a Lipschitz norm involving the John-Nirenberg-type inequality for homogeneous Lipschitz functions, which is new in the p -adic field context.

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“…If the limit exists. We now mention some of the previous works on harmonic analysis on the p-adic feld, see [2][3][4][5][6][7][8] and the references therein.…”

Section: Introduction and Statement Of Main Resultsmentioning

confidence: 99%

Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p‐Adic Vector Space

2022

Journal of Mathematics

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Characterization of p‐Adic Mixed λ‐Central Bounded Mean Oscillation Space via Commutators of p‐Adic Hardy‐Type Operators

Sarfraz,

Riaz,

Mehmood

et al. 2024

Journal of Function Spaces

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In this note, we define p‐adic mixed Lebesgue space and mixed λ‐central Morrey‐type spaces and characterize p‐adic mixed λ‐central bounded mean oscillation space via the boundedness of commutators of p‐adic Hardy‐type operators on p‐adic mixed Lebesgue space. Moreover, we also furnish boundedness of commutators of p‐adic Hardy‐type operators generated with p‐adic mixed λ‐central bounded mean oscillation on mixed λ‐central Morrey space.

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Sharp weak bounds for discrete Hardy operator on discrete central Morrey spaces

Wei¹,

Liu

2023

MATH

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Sharp weak bounds for p-adic Hardy operators on p-adic linear spaces

Abstract: The current paper establishes the sharp weak bounds of p-adic fractional Hardy operator. Furthermore, optimal weak type estimates for p-adic Hardy operator on central Morrey space are also acquired.

Cited by 3 publications

References 38 publications

Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p‐Adic Vector Space

Characterization of Lipschitz Spaces via Commutators of Maximal Function on the p‐Adic Vector Space

Characterization of p‐Adic Mixed λ‐Central Bounded Mean Oscillation Space via Commutators of p‐Adic Hardy‐Type Operators

Sharp weak bounds for discrete Hardy operator on discrete central Morrey spaces

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