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On the L p-boundedness of pseudo-differential operators with non-regular symbols

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Arkiv för Matematik

Abstract

In this paper, we consider the continuity property of pseudo-differential operators with symbols whose Fourier transforms have compact support. As applications, we obtain the L p-boundedness for symbols in Besov spaces and in modulation spaces.

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Authors and Affiliations

  1. Department of Mathematics Graduate School of Science, Osaka University, Toyonaka, Osaka, 560-0043, Japan

    Naohito Tomita

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  1. Naohito Tomita
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Correspondence to Naohito Tomita.

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Tomita, N. On the L p-boundedness of pseudo-differential operators with non-regular symbols. Ark Mat 49, 175–197 (2011). https://doi.org/10.1007/s11512-009-0114-4

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  • DOI: https://doi.org/10.1007/s11512-009-0114-4

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