Author： Yakubovich S. B.
Publisher： Taylor & Francis Ltd
ISSN： 1065-2469
Source： Integral Transforms and Special Functions, Vol.21, Iss.4, 2010-04, pp. : 259-276
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Abstract
We continue to investigate boundedness properties in a two-parametric family of Lebesgue spaces for convolutions related to the Fourier and Kontorovich-Lebedev transforms. Norm estimations in the weighted Lp-spaces are obtained and applications to the corresponding class of convolution integral equations are demonstrated. Necessary and sufficient conditions are found for the solvability of these equations in the weighted L2-spaces.
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