On bases and unconditional bases in the spaces ,1≤p<∞
Weighted norm inequalities for some classes of singular integrals
Calderón-Zygmund operators and unconditional bases of weighted Hardy spaces
We study sufficient conditions on the weight w, in terms of membership in the classes, for the spline wavelet systems to be unconditional bases of the weighted space . The main tool to obtain these results is a very simple theory of regular Calderón-Zygmund operators.
Summability of generalized Fourier series and their conjugate series
On the representation systems with respect to summation methods
Properties of representation systems with respect to summation methods are studied. For a given representation system with respect to a given summation method we study, in particular, the question of the stability of that property after deleting finitely many elements. As a consequence we obtain the existence of null series for the systems with respect to a given method of summation.
A sharp estimate of the measure of the set of divergence of multiple orthogonal Fourier series
The aim of this paper is to obtain sharp estimates from below of the measure of the set of divergence of the m-fold Fourier series with respect to uniformly bounded orthonormal systems for the so-called G-convergence and λ-restricted convergence. We continue the study begun in a previous work.
Page 1