On the Lp-Lq norm of the Hankel transform and related operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:348

Article

De Carli, Laura

关键词: Fourier-Bessel transform;    Hankel transform;    convolution operator;    Bessel functions;    Laguerre polynomials;    rest constants;   

DOI  :  10.1016/j.jmaa.2008.06.053

来源: Elsevier

【 摘 要 】

We investigate the L(p) (0, infinity) - L(q) (0, infinity) mapping properties of the operators L(nu,mu)(alpha) f(y) = y(mu) integral(infinity)(0) (xy)(nu) f(x) f(alpha) (xy) dx, f is an element of C(0)(infinity) (0,+infinity). for suitable values of the parameters, and we evaluate the operator norm of L(nu,mu)(alpha) in some special and significant cases. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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