L
p
boundedness for a maximal singular integral operator
-
Xiangxing Tao
Abstract
Let Ω be homogeneous of degree zero and have vanishing moment of order one, let A be a function on
In this paper, the authors prove that if
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11771399
Award Identifier / Grant number: 11871108
Funding statement: The research of the first author was supported by the NNSF of China (No. 11771399), and the research of the second (corresponding) author was supported by the NNSF of China (No. 11871108).
Acknowledgements
The authors would like to express their sincerely thanks to the referee for his/her valuable remarks and suggestions, which made this paper more readable.
References
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© 2022 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Recognizing pro-𝖱 closures of regular languages
- Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups
- Non-perturbative graph languages, halting problem and complexity
- Spectral synthesis via moment functions on hypergroups
- A function field analogue of the Stark conjecture
- Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces
- Krull dimension for C*-algebras
- The sharp bound of the third Hankel determinant for starlike functions
- The role of gentle algebras in higher homological algebra
- Classifying spaces for the family of virtually abelian subgroups of orientable 3-manifold groups
-
- Common reducing subspaces and decompositions of contractions
- A restriction estimate on Morrey spaces
- On ideals in group algebras: An uncertainty principle and the Schur product
- Spectrality of self-similar measures with product-form digits
- Borderline Lipschitz regularity for bounded minimizers of functionals with (p,q)-growth
- On the L q spectra of in-homogeneous self-similar measures
Artikel in diesem Heft
- Frontmatter
- Recognizing pro-𝖱 closures of regular languages
- Reverse Stein–Weiss, Hardy–Littlewood–Sobolev, Hardy, Sobolev and Caffarelli–Kohn–Nirenberg inequalities on homogeneous groups
- Non-perturbative graph languages, halting problem and complexity
- Spectral synthesis via moment functions on hypergroups
- A function field analogue of the Stark conjecture
- Continuity properties and Bargmann mappings of quasi-Banach Orlicz modulation spaces
- Krull dimension for C*-algebras
- The sharp bound of the third Hankel determinant for starlike functions
- The role of gentle algebras in higher homological algebra
- Classifying spaces for the family of virtually abelian subgroups of orientable 3-manifold groups
-
- Common reducing subspaces and decompositions of contractions
- A restriction estimate on Morrey spaces
- On ideals in group algebras: An uncertainty principle and the Schur product
- Spectrality of self-similar measures with product-form digits
- Borderline Lipschitz regularity for bounded minimizers of functionals with (p,q)-growth
- On the L q spectra of in-homogeneous self-similar measures
