On estimates for convolutions in anisotropic Nikol'skii-Besov spaces
by
Gerardo Emilio García Almeida
Cardiff University (U.K.), Universidad Autónoma de Yucatán (Mexico)

A convolution-type integral equation of the first kind is considered. In order to solve it we use the Tikhonov regularization method involving two Anisotropic Nikol'skii-Besov spaces. Estimates for this problem in the isotropic case were obtained by V.I. Burenkov and A.S. Pankratov in an article published in the Journal of Mathematical Sciences, Vol 80, No. 5 , 1996. The aim of this talk is to obtain similar results in the anisotropic case.

Date received: July 30, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahz-00.