Pitt and Boas inequalities for Fourier and Hankel transforms

[摘要] We prove Pitt and Boas inequalities for products of radial functions and spherical harmonics in R-n. In the process, we obtain upper and lower estimates of the operator norm of the Hankel transform with power weights. Our inequalities are sharp in some specific cases. (C) 2013 Elsevier Inc. All rights reserved.

[发布日期] 2013-12-15

[关键词] Fourier and Hankel transforms;Sharp constants;Pitt inequalities;Boas inequalities