The pseudoanalytic extensions for some spaces of analytic functions
Complex Variables
2015-04-07 v1
Abstract
Using the Cauchy-Riemann operator, we characterize spaces, Besov spaces and analytic Morrey spaces in terms of pseudoanalytic extensions of primitive functions. Our results are also true on some classical Banach spaces, such as the Bloch space, and the Dirichlet space.
Cite
@article{arxiv.1504.01305,
title = {The pseudoanalytic extensions for some spaces of analytic functions},
author = {Guanlong Bao and Hasi Wulan and Fangqin Ye},
journal= {arXiv preprint arXiv:1504.01305},
year = {2015}
}
Comments
14pages