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

    抜粋

    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.

    元の言語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
    発行部数1
    DOI
    出版物ステータスPublished - 2016

    ASJC Scopus subject areas

    • Mathematics(all)

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