# Estimates for n-widths of sets of smooth functions on complex spheres

Número:
2
Ano:
2019
Autor:
Deimer J. J. Aleans
Sergio A. Tozoni
Abstract:

In this work we investigate n-widths of multiplier operators defined for functions on a complex sphere and bounded from L^p into L^q. We study lower and upper estimates for the n-widths of Kolmogorov, linear, of Gelfand and of Bernstein, of such operators. As application we obtain, in particular, estimates for the Kolmogorov n-width of classes of Sobolev, of finitely differentiable, infinitely differentiable and analytic functions on a complex sphere, in L^q, which are order sharp in various important situations.

Keywords:
Complex sphere, Width, Multiplier, Smooth Function
Observação:
RP 02/2019
Arquivo: