Mobius Invariant Hilbert Spaces of Holomorphic Functions in the Unit Ball of ℂ n

DOI10.2307/2001559zbMath0739.46009OpenAlexW4230939975MaRDI QIDQ3971047

K. H. Zhu

Publication date: 25 June 1992

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2001559

zbMATH Keywords

Dirichlet spaceHilbert space of holomorphic functionsMöbius group of biholomorphic mappingsMöbius invariant Hilbert spaces

Mathematics Subject Classification ID

Hilbert spaces of continuous, differentiable or analytic functions (46E20) Inequalities in the complex plane (30A10)

Related Items (10)

Szegö's theorem on Hardy spaces induced by rotation-invariant Borel measures ⋮ Hilbert-Schmidt composition-differentiation operators on the unit ball ⋮ Invariant spaces of holomorphic functions on the Siegel upper half-space ⋮ Realization of the invariant inner products on the highest quotients of the composition series ⋮ Paley-Wiener theorems on the Siegel upper half-space ⋮ Invariance of Fock spaces under the action of the Heisenberg group ⋮ Kelvin-Möbius-invariant harmonic function spaces on the real unit ball ⋮ Actions of the Möbius group on analytic functions ⋮ Invariant quadratic forms on spaces of holomorphic functions ⋮ Möbius-invariant harmonic function spaces on the unit disc

This page was built for publication: Mobius Invariant Hilbert Spaces of Holomorphic Functions in the Unit Ball of ℂ n