Bilinear operators on ball Banach function spaces

Research output: Contribution to journalArticlespeer-review

Abstract

This paper establishes the mapping properties of the bilinear operators on the ball Banach function spaces. The main result of this paper yields the mapping properties of the bilinear Fourier multipliers, the rough bilinear singular integrals and the bilinear Calderón–Zygmund operators on the ball Banach function spaces. As applications of the main result, we have the mapping properties of the bilinear Fourier multipliers, the rough bilinear singular integrals and the bilinear Calderón–Zygmund operators on the Morrey spaces and the Herz spaces. Copyright © 2024 Mathematica Josephina, Inc.

Original languageEnglish
Article number337
JournalJournal of Geometric Analysis
Volume34
Early online dateSept 2024
DOIs
Publication statusPublished - 2024

Citation

Ho, K.-P. (2024). Bilinear operators on ball Banach function spaces. Journal of Geometric Analysis, 34, Article 337. https://doi.org/10.1007/s12220-024-01786-4

Keywords

  • Bilinear operator
  • Ball Banach function spaces
  • Fourier multipliers
  • Singular integrals
  • Calderón–Zygmund operators
  • Morrey spaces
  • Herz spaces
  • Extrapolation

Fingerprint

Dive into the research topics of 'Bilinear operators on ball Banach function spaces'. Together they form a unique fingerprint.