Uniform convergence and integrability of Fourier integrals

[摘要] 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. (C) 2010 Elsevier Inc. All rights reserved.

[发布日期] 2010-12-01

[关键词] Fourier integrals;Uniform convergence;Weighted norm inequalities;General monotone functions