VARIATION OPERATORS FOR COMMUTATORS OF ROUGH SINGULAR INTEGRALS ON WEIGHTED MORREY SPACES

Feng Liu; Zunwei Fu; Yan Wu

doi:10.11948/20230210

2024 Volume 14 Issue 1

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Feng Liu, Zunwei Fu, Yan Wu. VARIATION OPERATORS FOR COMMUTATORS OF ROUGH SINGULAR INTEGRALS ON WEIGHTED MORREY SPACES[J]. Journal of Applied Analysis & Computation, 2024, 14(1): 263-282. doi: 10.11948/20230210

Citation:

Feng Liu, Zunwei Fu, Yan Wu. VARIATION OPERATORS FOR COMMUTATORS OF ROUGH SINGULAR INTEGRALS ON WEIGHTED MORREY SPACES[J]. Journal of Applied Analysis & Computation, 2024, 14(1): 263-282. doi: 10.11948/20230210

VARIATION OPERATORS FOR COMMUTATORS OF ROUGH SINGULAR INTEGRALS ON WEIGHTED MORREY SPACES

1.
College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China
2.
School of Mathematics and Statistics, Linyi University, Linyi, Shandong 276000, China

Author Bio: Email: FLiu@sdust.edu.cn(F. Liu); Email: fuzunwei@lyu.edu.cn(Z. Fu)
Corresponding author: Email: wuyan@lyu.edu.cn(Y. Wu)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 11701333, 12071197) and National Science Foundation of Shandong Province (No. ZR2022MA018)

Abstract

Abstract

In this paper, we establish the boundedness and compactness the variation operators of commutators of singular integrals with rough kennels $\Omega\in L^q({\rm S}^{n-1})$ for some $q\in(1, \infty]$ on the weighted Lebesgue and Morrey spaces. Our main results represent significant improvements as well as natural extensions of what was known previously.
- Variation operator /
- rough singular integrals /
- commutators /
- weighted Lebesgue and Morrey spaces /
- boundedness and compactness
MSC: 42B20, 42B99

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References

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