RT journal article
T1 Hardy Spaces for Quasiregular Mappings and Composition Operators
A1 Adamowicz, Tomasz
A1 González Fuentes, María José
A2 Matemáticas
K1 Carleson measure
K1 Composition operators
K1 Hardy spaces
K1 Quasiregular mappings
K1 Quasiconformal symbols
AB We define Hardy spaces H-p for quasiregular mappings in the plane, and show that for a particular class of these mappings many of the classical properties that hold in the classical setting of analytic mappings still hold. This particular class of quasiregular mappings can be characterised in terms of composition operators when the symbol is quasiconformal. Relations between Carleson measures and Hardy spaces play an important role in the discussion. This program was initiated and developed for Hardy spaces of quasiconformal mappings by Astala and Koskela in 2011 in their paper H-p-theory for Quasiconformal Mappings (Pure Appl Math Q 7(1):19-50, 2011).
PB SPRINGER
SN 1050-6926
YR 2021
FD 2021-05
LK http://hdl.handle.net/10498/24976
UL http://hdl.handle.net/10498/24976
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 22-sep-2026