The Boundedness of Fractional Hardy-Littlewood Maximal Operator On Variable ℓp(·)(Z) Spaces Using Calderon-Zygmund Decomposition

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Authors

  • A. Sri Sakti Swarup
     BITS-Pilani, Hyderabad-500 078, Telangana ,IN
  • A. Michael Alphonse
     BITS-Pilani, Hyderabad-500 078, Telangana ,IN

DOI:

https://doi.org/10.18311/jims/2024/31327

Keywords:

Calderon-Zygmund decomposition, Log Holder continuity, Fractional Hardy-Littlewood maximal operator, Variable sequence spaces.

Abstract

In this paper, we prove strong type and weak type inequalities of the Hardy-Littlewood maximal operator(M) and fractional Hardy- Littlewood maximal operator(Mα) on variable sequence spaces ℓp(·)(Z). This is achieved using Calderon-Zygmund decomposition for sequences, properties of modular functional and Log Holder continuity.

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Published

2024-01-01

How to Cite

Sri Sakti Swarup, A., & Michael Alphonse, A. (2024). The Boundedness of Fractional Hardy-Littlewood Maximal Operator On Variable ℓ<i><sup>p(·)</sup></i>(Z) Spaces Using Calderon-Zygmund Decomposition. The Journal of the Indian Mathematical Society, 91(1-2), 237–252. https://doi.org/10.18311/jims/2024/31327

Issue

Volume 91, Issue 1-2, January-June 2024

Section

Articles

License

Copyright (c) 2024 A. Sri Sakti Swarup, A. Michael Alphonse

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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Europe PMC
Received 2022-09-26
Accepted 2023-05-09
Published 2024-01-01

 

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