full
search.png

Search

close.png

Cancel

arrow
Volume 41, Issue 3
Variable Exponent Central Morrey Estimates for Multilinear Bochner-Riesz Operators

Yanqi Yang, Lulu Yang & Shuangping Tao

DOI: 10.4208/ata.OA-2024-0022

Anal. Theory Appl., 41 (2025), pp. 259-283.

Published online: 2025-09

Preview Purchase PDF 2 54

Cited by

google scholar semantic scholar
Export citation
  • Abstract

We prove the boundedness of multilinear Bochner-Riesz operator on central Morrey spaces with variable exponents. Moreover, we also show that the variable exponent Lipschitz commutator of Bochner-Riesz operator are bounded on above spaces. As applications, we also obtain the bounds of the commutators generated by $\lambda$-central BMO functions and Bochner-Riesz operators on central Morrey spaces with variable exponents.

  • Keywords

Multilinear Bochner-Riesz operator, commutator, central Morrey space with variable exponent, boundedness.

  • AMS Subject Headings

42B15, 42B20, 42B35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{ATA-41-259, author = {Yang , YanqiYang , Lulu and Tao , Shuangping}, title = {Variable Exponent Central Morrey Estimates for Multilinear Bochner-Riesz Operators}, journal = {Analysis in Theory and Applications}, year = {2025}, volume = {41}, number = {3}, pages = {259--283}, abstract = {

We prove the boundedness of multilinear Bochner-Riesz operator on central Morrey spaces with variable exponents. Moreover, we also show that the variable exponent Lipschitz commutator of Bochner-Riesz operator are bounded on above spaces. As applications, we also obtain the bounds of the commutators generated by $\lambda$-central BMO functions and Bochner-Riesz operators on central Morrey spaces with variable exponents.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-2024-0022}, url = {http://global-sci.org/intro/article_detail/ata/24486.html} }
TY - JOUR T1 - Variable Exponent Central Morrey Estimates for Multilinear Bochner-Riesz Operators AU - Yang , Yanqi AU - Yang , Lulu AU - Tao , Shuangping JO - Analysis in Theory and Applications VL - 3 SP - 259 EP - 283 PY - 2025 DA - 2025/09 SN - 41 DO - http://doi.org/10.4208/ata.OA-2024-0022 UR - https://global-sci.org/intro/article_detail/ata/24486.html KW - Multilinear Bochner-Riesz operator, commutator, central Morrey space with variable exponent, boundedness. AB -

We prove the boundedness of multilinear Bochner-Riesz operator on central Morrey spaces with variable exponents. Moreover, we also show that the variable exponent Lipschitz commutator of Bochner-Riesz operator are bounded on above spaces. As applications, we also obtain the bounds of the commutators generated by $\lambda$-central BMO functions and Bochner-Riesz operators on central Morrey spaces with variable exponents.

Yang , YanqiYang , Lulu and Tao , Shuangping. (2025). Variable Exponent Central Morrey Estimates for Multilinear Bochner-Riesz Operators. Analysis in Theory and Applications. 41 (3). 259-283. doi:10.4208/ata.OA-2024-0022
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard