On the regularity of bilinear maximal operator

Feng Liu; Guoru Wang

Czechoslovak Mathematical Journal (2023)

  • Volume: 73, Issue: 1, page 277-295
  • ISSN: 0011-4642

Abstract

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We study the regularity properties of bilinear maximal operator. Some new bounds and continuity for the above operators are established on the Sobolev spaces, Triebel-Lizorkin spaces and Besov spaces. In addition, the quasicontinuity and approximate differentiability of the bilinear maximal function are also obtained.

How to cite

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Liu, Feng, and Wang, Guoru. "On the regularity of bilinear maximal operator." Czechoslovak Mathematical Journal 73.1 (2023): 277-295. <http://eudml.org/doc/299393>.

@article{Liu2023,
abstract = {We study the regularity properties of bilinear maximal operator. Some new bounds and continuity for the above operators are established on the Sobolev spaces, Triebel-Lizorkin spaces and Besov spaces. In addition, the quasicontinuity and approximate differentiability of the bilinear maximal function are also obtained.},
author = {Liu, Feng, Wang, Guoru},
journal = {Czechoslovak Mathematical Journal},
keywords = {bilinear maximal operator; Triebel-Lizorkin space; Besov space; Lipschitz space; $p$-quaiscontinuous; approximate differentiability},
language = {eng},
number = {1},
pages = {277-295},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the regularity of bilinear maximal operator},
url = {http://eudml.org/doc/299393},
volume = {73},
year = {2023},
}

TY - JOUR
AU - Liu, Feng
AU - Wang, Guoru
TI - On the regularity of bilinear maximal operator
JO - Czechoslovak Mathematical Journal
PY - 2023
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 73
IS - 1
SP - 277
EP - 295
AB - We study the regularity properties of bilinear maximal operator. Some new bounds and continuity for the above operators are established on the Sobolev spaces, Triebel-Lizorkin spaces and Besov spaces. In addition, the quasicontinuity and approximate differentiability of the bilinear maximal function are also obtained.
LA - eng
KW - bilinear maximal operator; Triebel-Lizorkin space; Besov space; Lipschitz space; $p$-quaiscontinuous; approximate differentiability
UR - http://eudml.org/doc/299393
ER -

References

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