Affiliation:
1. Department of Mathematics, Bar-Ilan University, Israel
Abstract
We introduce weighted amalgam-type spaces and analyze their relations with
some known spaces. Integrability results for the Fourier transform
of a function with the derivative from one of those spaces are proved.
The obtained results are applied to the integrability of trigonometric series
with the sequence of coefficients of bounded variation.
Publisher
Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine
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