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

Kazumasa Fujiwara, Tohru Ozawa

## 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 169-191 23 Journal of the Mathematical Society of Japan 68 1 https://doi.org/10.2969/jmsj/06810169 Published - 2016

• 数学 (全般)

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