Singular integral operators on function spaces

compactifications and function spaces on weighted semigruops

chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...

Cauchy Singular Integral Operators in Weighted Spaces of Continuous Functions

We study the Cauchy singular integral operator SwI on (−1, 1), where |w| is a generalized Jacobi weight. This operator is considered in pairs of weighted spaces of continuous functions, where the weights u and v are generalized Jacobi weights with nonnegative exponents such that |w| = u/v. We introduce a certain polynomial approximation space which is well appropriated to serve as domain of def...

Poly-Bergman spaces and two-dimensional singular integral operators

We describe a direct and transparent connection between the polyBergman type spaces on the upper half-plane and certain two dimensional singular integral operators. Mathematics Subject Classification (2000). 30G30, 45P05, 47B38.

Compact and strictly singular operators on certain function spaces

On the Hardy-type Integral Operators in Banach Function Spaces

Characterization of the mapping properties such as boundedness, compactness, measure of non-compactness and estimates of the approximation numbers of Hardy-type integral operators in Banach function spaces are given.