Hardy-Sobolev Spaces Research Articles

Maximal and Area Integral Characterizations of Hardy-Sobolev Spaces in the Unit Ball of $\mathbb C^n$

In this paper we deal with several characterizations of the Hardy-Sobolev spaces in the unit ball of \mathbb C^n , that is, spaces of holomorphie functions in the ball whose derivatives up to a certain order belong to the classical Hardy spaces. Some of our characterizations are in terms of maximal functions, area functions or Littlewood-Paley functions involving only complex-tangential derivatives. A special case of our results is a characterization of H^p itself involving only complex-tangential derivatives.

On the spaces Fs p.q of iiardy-soblow type: equivalent quasi-norys , multipliers, spaces on doilains , regular elliptic botjndary vaiue prblems

Smary. The paper is the continuation of [22] . It deals with Hardy-Sobolev spaces in the Euclidean nspace and in domains, as well as with geaeral regular elliptic boundary value problems in these spaces.