Endpoint Sobolev Regularity of Multilinear Maximal Operators-Reference-Cited by-同舟云学术

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Endpoint Sobolev Regularity of Multilinear Maximal Operators

Published:2023-09-20 Issue:5 Volume:27 Page:
ISSN:1027-5487
Container-title:Taiwanese Journal of Mathematics
language:
Short-container-title:Taiwanese J. Math.

Author:

Liu Feng¹,Zhang Xiao²,Zhang Huiyun³

Affiliation:

1. College of Mathematics and System Science, Shandong University of Science and Technology, China

2. College of Mathematics and System Science, College of Electronic and Information Engineering, China

3. College of Electronic and Information Engineering, Shandong University of Science and Technology, China

Publisher

The Mathematical Society of the Republic of China

Subject

General Mathematics

Reference33 articles.

1. J. M. Aldaz and J. Pérez Lázaro, Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities, Trans. Amer. Math. Soc. 359 (2007), no. 5, 2443–2461.

2. E. Carneiro and J. Madrid, Derivative bounds for fractional maximal functions, Trans. Amer. Math. Soc. 369 (2017), no. 6, 4063–4092.

3. E. Carneiro, J. Madrid and L. B. Pierce, Endpoint Sobolev and BV continuity for maximal operators, J. Funct. Anal. 273 (2017), no. 10, 3262–3294.

4. E. Carneiro and D. Moreira, On the regularity of maximal operators, Proc. Amer. Math. Soc. 136 (2008), no. 12, 4395–4404.

5. P. Hajłasz and J. Onninen, On boundedness of maximal functions in Sobolev spaces, Ann. Acad. Sci. Fenn. Math. 29 (2004), no. 1, 167–176.

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