BMO and singular integrals over local fields-Reference-Cited by-同舟云学术

BMO and singular integrals over local fields

Published:1993-06 Issue:3 Volume:54 Page:321-333
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Daly James E.,Kurtz Douglas S.

Abstract

AbstractThis paper is concerned with the behavior of certain principal-value, singular integral operators on L∞ and BMO defined over a local field. It is shown that unless the definition of these operators is changed appropriately, they may not be defined for some function in these spaces. Direct, constructive proofs of the existence and boundedness of the altered operators under certain smoothness conditions on the kernel are given.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference7 articles.

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