Title of article
Uniform convergence and integrability of Fourier integrals
Author/Authors
Dyachenko، نويسنده , , Mikhail and Liflyand، نويسنده , , Elijah and Tikhonov، نويسنده , , Sergey، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2010
Pages
11
From page
328
To page
338
Abstract
Firstly, we study the uniform convergence of cosine and sine Fourier transforms. Secondly, we obtain Pitt–Boas type results on L p -integrability of Fourier transforms with the power weights. The solutions of both problems are written as criteria in terms of general monotone functions.
Keywords
Fourier integrals , Weighted norm inequalities , General monotone functions , Uniform convergence
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2010
Journal title
Journal of Mathematical Analysis and Applications
Record number
1561335
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