Oscillatory singular integral operators with Hölder class kernels on Hardy spaces

A sharp logarithmic bound is established for the -norm of oscillatory singular integrals with quadratic phases and Hölder class kernels. Prior results had relied on a -assumption on the kernel.

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Bibliographic Details
Published inForum mathematicum Vol. 31; no. 2; pp. 535 - 542
Main Author Pan, Yibiao
Format Journal Article
LanguageEnglish
Published Berlin De Gruyter 01.03.2019
Walter de Gruyter GmbH
Subjects
42B20
42B35
Hardy spaces
Hölder classes
Integrals
Kernels
Operators (mathematics)
Oscillatory integrals
singular integrals
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Summary:A sharp logarithmic bound is established for the -norm of oscillatory singular integrals with quadratic phases and Hölder class kernels. Prior results had relied on a -assumption on the kernel.
ISSN:0933-7741
1435-5337
DOI:10.1515/forum-2018-0249