Function theory in real Hardy spaces

Hardy Inequalities in Function Spaces

Radial Maximal Function Characterizations for Hardy Spaces on RD-spaces

An RD-space X is a space of homogeneous type in the sense of Coifman and Weiss with the additional property that a reverse doubling property holds. The authors prove that for a space of homogeneous type X having “dimension” n, there exists a p0 ∈ (n/(n+ 1), 1) such that for certain classes of distributions, the L(X ) quasi-norms of their radial maximal functions and grand maximal functions are ...

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...

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.

Hardy spaces , Real interpolation and Applications to bilinear operators

This paper can be considered as the sequel of [6], where the authors have proposed an abstract construction of Hardy spaces H. They shew an interpolation result for these Hardy spaces with the Lebesgue spaces. Here we describe a more precise result using the real interpolation theory and we clarify the use of Hardy spaces. Then with the help of the bilinear interpolation theory, we then give ap...