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Journal of Function Spaces
Volume 2015, Article ID 420750, 10 pages
http://dx.doi.org/10.1155/2015/420750
Research Article

Strong Summability of Fourier Transforms at Lebesgue Points and Wiener Amalgam Spaces

Department of Numerical Analysis, Eötvös L. University, Pázmány P. Sétány 1/C, Budapest 1117, Hungary

Received 1 March 2015; Revised 8 May 2015; Accepted 8 May 2015

Academic Editor: Gelu Popescu

Copyright © 2015 Ferenc Weisz. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We characterize the set of functions for which strong summability holds at each Lebesgue point. More exactly, if is in the Wiener amalgam space and is almost everywhere locally bounded, or , then strong -summability holds at each Lebesgue point of . The analogous results are given for Fourier series, too.