Title of article
Pitt and Boas inequalities for Fourier and Hankel transforms
Author/Authors
De Carli، نويسنده , , L. and Gorbachev، نويسنده , , D. and Tikhonov، نويسنده , , S.، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2013
Pages
13
From page
762
To page
774
Abstract
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.
Keywords
Fourier and Hankel transforms , Sharp constants , Pitt inequalities , Boas inequalities
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2013
Journal title
Journal of Mathematical Analysis and Applications
Record number
1563926
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