A class of Möbius invariant function spaces

A Class of Möbius Invariant Function Spaces

We introduce a class of Möbius invariant spaces of analytic functions in the unit disk, characterize these spaces in terms of Carleson type measures, and obtain a necessary and sufficient condition for a lacunary series to be in such a space. Special cases of this class include the Bloch space, the diagonal Besov spaces, BMOA, and the so-called Qp spaces that have attracted much attention lately.

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

On a Metric on Translation Invariant Spaces

In this paper we de ne a metric on the collection of all translation invarinat spaces on a locally compact abelian group and we study some properties of the metric space.

A New Class of Banach Sequence Spaces

Möbius-invariant natural neighbor interpolation