Bilinear fractional Hardy-type operators with rough kernels on central Morrey spaces with variable exponents

Hongbin Wang; Chenchen Niu

Czechoslovak Mathematical Journal (2024)

  • Volume: 74, Issue: 2, page 493-514
  • ISSN: 0011-4642

Abstract

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We introduce a type of n -dimensional bilinear fractional Hardy-type operators with rough kernels and prove the boundedness of these operators and their commutators on central Morrey spaces with variable exponents. Furthermore, the similar definitions and results of multilinear fractional Hardy-type operators with rough kernels are obtained.

How to cite

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Wang, Hongbin, and Niu, Chenchen. "Bilinear fractional Hardy-type operators with rough kernels on central Morrey spaces with variable exponents." Czechoslovak Mathematical Journal 74.2 (2024): 493-514. <http://eudml.org/doc/299540>.

@article{Wang2024,
abstract = {We introduce a type of $n$-dimensional bilinear fractional Hardy-type operators with rough kernels and prove the boundedness of these operators and their commutators on central Morrey spaces with variable exponents. Furthermore, the similar definitions and results of multilinear fractional Hardy-type operators with rough kernels are obtained.},
author = {Wang, Hongbin, Niu, Chenchen},
journal = {Czechoslovak Mathematical Journal},
keywords = {bilinear fractional Hardy operator; rough kernel; central Morrey space; variable exponent},
language = {eng},
number = {2},
pages = {493-514},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bilinear fractional Hardy-type operators with rough kernels on central Morrey spaces with variable exponents},
url = {http://eudml.org/doc/299540},
volume = {74},
year = {2024},
}

TY - JOUR
AU - Wang, Hongbin
AU - Niu, Chenchen
TI - Bilinear fractional Hardy-type operators with rough kernels on central Morrey spaces with variable exponents
JO - Czechoslovak Mathematical Journal
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 74
IS - 2
SP - 493
EP - 514
AB - We introduce a type of $n$-dimensional bilinear fractional Hardy-type operators with rough kernels and prove the boundedness of these operators and their commutators on central Morrey spaces with variable exponents. Furthermore, the similar definitions and results of multilinear fractional Hardy-type operators with rough kernels are obtained.
LA - eng
KW - bilinear fractional Hardy operator; rough kernel; central Morrey space; variable exponent
UR - http://eudml.org/doc/299540
ER -

References

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