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

Kazumasa Fujiwara, Tohru Ozawa

研究成果: Article査読

抄録

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.

本文言語English
ページ(範囲)169-191
ページ数23
ジャーナルJournal of the Mathematical Society of Japan
68
1
DOI
出版ステータスPublished - 2016

ASJC Scopus subject areas

  • Mathematics(all)

フィンガープリント 「Weighted Lp-boundedness of convolution type integral operators associated with bilinear estimates in the Sobolev spaces」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル