Möbius-invariant Hilbert spaces in polydiscs

DOI10.2140/PJM.1994.163.337zbMath0791.32015OpenAlexW2137928648MaRDI QIDQ1322107

H. Turgay Kaptanoğlu

Publication date: 5 May 1994

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1994.163.337

zbMATH Keywords

Dirichlet spacespotentialstangential limitsBessel kernelsautomorphisms of polydiscsMöbius-invariant Hilbert spaces

Mathematics Subject Classification ID

Dirichlet forms (31C25) Boundary behavior of holomorphic functions of several complex variables (32A40) Potentials and capacities on other spaces (31C15) Complex spaces with a group of automorphisms (32M99)

Related Items (12)

Reducing submodules of Hilbert modules and Chevalley-Shephard-Todd theorem ⋮ A note on cyclic polynomials in polydiscs ⋮ Triplets of closely embedded Dirichlet type spaces on the unit polydisc ⋮ Reducing subspaces of non-analytic Toeplitz operators on weighted Hardy and Dirichlet spaces of the bidisk ⋮ Rational inner functions and their Dirichlet type norms ⋮ Rectangular summation of multiple Fourier series and multi-parametric capacity ⋮ The finite sum of finite products of Toeplitz operators on the polydisk ⋮ Reducing subspaces for the product of a forward and a backward operator-weighted shifts ⋮ Kelvin-Möbius-invariant harmonic function spaces on the real unit ball ⋮ Cyclic polynomials in two variables ⋮ Cyclic polynomials in anisotropic Dirichlet spaces ⋮ Möbius-invariant harmonic function spaces on the unit disc

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