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 |
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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 | |
出版ステータス | Published - 2016 |
ASJC Scopus subject areas
- 数学 (全般)