Written as a hybrid between a research monograph and a textbook the first half of this book
is concerned with basic concepts for the study of Banach algebras that, in a sense, are not …

We prove necessary conditions for the Fredholmness of singular integral operators with
piecewise continuous coefficients on weighted Banach function spaces. These conditions …

In this work we investigate the approximation problems of the functionsby Fej´ er sums of
Fourier series in the reflexive weighted Orlicz spaceswith Muckenhoupt weights and of the …

This paper considers the method of Riemann boundary value problems of the theory of
analytic functions to study basis properties of perturbed systems of exponents in …

Approximation by polynomials and rational functions in Orlicz spaces Page 155 Approximation
by polynomials and rational functions in Orlicz spaces. Sadulla Z. Jafarov Department of …

This work deals with the rearrangement invariant Banach function space X and Banach
Hardy classes generated by this space, which consist of analytic functions inside and …

J. Math. Anal. Appl. Approximation by polynomials and rational functions in weighted
rearrangement invariant spaces Page 1 J. Math. Anal. Appl. 346 (2008) 489–500 Contents lists …

In this work, we investigate the approximation problems in weighted Smirnov–Orlicz classes.
We prove a direct theorem for polynomial approximation of functions in certain subclasses of …

Abstract Let H [X] and H [Y] be abstract Hardy spaces built upon Banach function spaces X
and Y over the unit circle T. We prove an analogue of the Brown–Halmos theorem for …

Let be a bounded set on the complex plane C with a connected complement 𝐾-:= C∖ 𝐾. Let
D:={𝑤∈ C:| 𝑤|< 1} and D-:= C∖ D. By we denote the conformal mapping of 𝐾-onto {𝑤∈ C …