Weighted Lp-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces

Kazumasa Fujiwara, Tohru Ozawa

Research output: Contribution to journalArticlepeer-review

Abstract

We study the boundedness of integral operators of convolution type in the Lebesgue spaces with weights. As a byproduct, we give a simple proof of the fact that the standard Sobolev space Hs(Rn) forms an algebra for s > n/2. Moreover, an optimality criterion is presented in the framework of weighted Lp-boundedness.

Original languageEnglish
Pages (from-to)169-191
Number of pages23
JournalJournal of the Mathematical Society of Japan
Volume68
Issue number1
DOIs
Publication statusPublished - 2016

Keywords

  • Pointwise multiplication
  • Sobolev spaces

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Weighted Lp-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces'. Together they form a unique fingerprint.

Cite this