The weighted Lp-boundedness of product-type pseudodifferential operators

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In this paper we consider non-regular simple symbols and double symbols satisfying estimates of product type, and give some sufficient conditions for the associated pseudodifferential operators to be bounded on weighted Lp-spaces, where the weights considered here are the Aq-weights of product type. In this paper we fill in the gap between the sufficient conditions for the unweighted Lp-boundedness and weighted Lp-boundedness. Some of the results are new even for the unweighted Lp-boundedness for symbols satisfying classical estimates.

元の言語English
ページ(範囲)31-56
ページ数26
ジャーナルAdvances in Mathematics
74
発行部数1
DOI
出版物ステータスPublished - 1989 3
外部発表Yes

ASJC Scopus subject areas

  • Mathematics(all)

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