On some approximation properties of real Hardy spaces (0 < p ⩽ 1)

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

Some Results on p-Best Approximation in Vector Spaces

Some Properties of Composition Operators on Weighted Hardy Spaces

Let φ be an analytic map of unit disk D into itself, consider the composition operator Cφ defined by Cφ(f) = f◦φ whenever f is analytic on D. In this paper, we discuss necessary and sufficient conditions under which a composition operator on a large class of weighted Hardy spaces is a compact.

some results on p-best approximation in vector spaces

Factorization Theorems for Hardy Spaces of the Bidisc, 0 < P ≤ 1

A factorization theorem is proved in the Hardy spaces Hp of the bi-upper half plane, 0 < p ≤ 1. The proof is based on some fundamental work of Chang-Fefferman on atomic decompositions of Hp.