Endpoint estimates of variation and oscillation operators associated with Zλ functions-Reference-Cited by-同舟云学术

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Endpoint estimates of variation and oscillation operators associated with Zλ functions

Published:2024-03-28 Issue:07 Volume:35 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Wen Yongming¹^ORCID,Han Yanyan²^ORCID,Hou Xianming³^ORCID

Affiliation:

1. School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, P. R. China

2. School of Information Network Security, People’s Public Security University of China, Beijing 100038, P. R. China

3. School of Mathematics and Statistics, Linyi University, Linyi 276005, P. R. China

Abstract

This paper obtains weak-type estimates, limiting weak-type behaviors for variation operators associated with [Formula: see text] functions. Besides, we give a new characterization of Hardy space via the boundedness of variation operators associated with [Formula: see text] functions.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Fujian Province

President's fund of Minnan Normal University

Publisher

World Scientific Pub Co Pte Ltd

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X24500253

Reference41 articles.

1. Quantitative weighted estimates for Harmonic analysis operators in the Bessel setting by using sparse domination

2. On Hardy spaces associated with Bessel operators

3. L p -boundedness properties of variation operators in the Schrödinger setting

4. Pointwise ergodic theorems for arithmetic sets

5. COMMUTATORS OF SINGULAR INTEGRAL OPERATORS

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