ESTIMATES OF REGULARIZED SOLUTIONS OF EQUATIONS OF CONVOLUTION TYPE IN ANISOTROPIC FUNCTION SPACES WITH NONINTEGER ORDER OF SMOOTHNESS

Estimates for Tikhonov regularized solutions of an integral equation of the first kind of convolution type are presented. They are obtained by using anisotropic Nikol'skii-Besov spaces. This article extends the results, obtained by V.I. Burenkov, I.F. Dorofeev, and A.S. Pankratov for isotropic Nikol'skii-Besov spaces, to the anisotropic case.