Fourier transforms on weighted amalgam type spaces
Keyword(s):
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.
1991 ◽
Vol 119
(1-2)
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pp. 73-86
1965 ◽
Vol 61
(3)
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pp. 617-620
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2016 ◽
Vol 436
(2)
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pp. 1082-1101
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Keyword(s):
1991 ◽
Vol 33
(2)
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pp. 180-191
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2003 ◽
Vol 133
(4)
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pp. 943-950
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