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

Kazumasa Fujiwara; Tohru Ozawa

doi:10.2969/jmsj/06810169

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

Kazumasa Fujiwara, Tohru Ozawa

先進理工学部

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 H^s(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
巻	68
号	1
DOI	https://doi.org/10.2969/jmsj/06810169
出版ステータス	Published - 2016

ASJC Scopus subject areas

数学 (全般)

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10.2969/jmsj/06810169

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

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