Characterizations of Hardy-type, Bergman-type and Dirichlet-type spaces on certain classes of complex-valued functions
: Shaolin Chen, Antti Rasila, Matti Vuorinen
Publisher: SUOMALAINEN TIEDEAKATEMIA
: 2019
: Annales Academiae Scientiarum Fennicae. Mathematica
: ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA
: ANN ACAD SCI FENN-M
: 44
: 427
: 448
: 22
: 1239-629X
DOI: https://doi.org/10.5186/aasfm.2019.4426
: https://research.utu.fi/converis/portal/detail/Publication/39944944
In this paper, we continue our investigation of function spaces on certain classes of complex-valued functions. In particular, we give characterizations on Hardy-type, Bergman-type and Dirichlet-type spaces. Furthermore, we present applications of our results to certain nonlinear PDEs.