Weighted Banach spaces of harmonic functions

作者:Jorda Enrique*; Maria Zarco Ana
来源:Revista de la Real Academia de Ciencias Exactas Fisicas y Naturales Serie A-Matematicas, 2014, 108(2): 405-418.
DOI:10.1007/s13398-012-0109-z

摘要

We study Banach spaces of harmonic functions on open sets of or endowed with weighted supremum norms. We investigate the harmonic associated weight defined naturally as the analogue of the holomorphic associated weight introduced by Bierstedt, Bonet, and Taskinen and we compare them. We study composition operators with holomorphic symbol between weighted Banach spaces of pluriharmonic functions characterizing the continuity, the compactness and the essential norm of composition operators among these spaces in terms of associated weights.

  • 出版日期2014-9