A new class of function spaces and the Hilbert transform

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...

A new class of function spaces on domains of R^d and its relations to classical 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...

A New Class of Banach Sequence Spaces

WEIGHTED BMOcjJ SPACES AND THE HILBERT TRANSFORM

We obtain estimates for the distribution of values of functions Íll the weighted BMOq, spaces, BMO�(R), that let us find equivalent norms. It is also obtained that a suitable redefinition of the HilbeÍt transform is a bounded operator from these spaces into themselves. This is achieved for a certain cIass of weights w.