Linear combinations of composition operators on the Fock-Sobolev spaces

DOI10.1007/s11118-014-9417-6zbMath1300.47031OpenAlexW1971185250MaRDI QIDQ471059

Hong Rae Cho, Boo Rim Choe, Hyungwoon Koo

Publication date: 13 November 2014

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-014-9417-6

zbMATH Keywords

Fock spaceFock-Sobolev spacelinear combination of composition operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Linear composition operators (47B33) Bergman spaces of functions in several complex variables (32A36)

Related Items (34)

Unitary, self-adjoint and ᵊ5-symmetric weighted composition operators on Fock-Sobolev spaces ⋮ Schatten-class generalized Volterra companion integral operators ⋮ Unnamed Item ⋮ Semi-commuting Toeplitz operators on Fock-Sobolev spaces ⋮ Mixed product of Hankel and Toeplitz operators on Fock-Sobolev spaces ⋮ Composition operators between weighted Fock spaces ⋮ Composition operators on Hilbert spaces of entire functions of several variables ⋮ Boundedness of composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions ⋮ Linear combination of composition operators on \(H^\infty\) and the Bloch space ⋮ On the spectrum of Volterra-type integral operators on Fock-Sobolev spaces ⋮ Complex symmetry of linear combinations of composition operators on the Fock space ⋮ Bounded composition operators on functional quasi-Banach spaces and stability of dynamical systems ⋮ On trace ideal weighted composition operators on weighted Fock spaces ⋮ Complex symmetry of linear combinations of composition operators on the McCarthy-Bergman space of Dirichlet series ⋮ Composition operators on weighted Fock spaces induced by \(A_{\infty}\)-type weights ⋮ Composition operators on Fock-type spaces ⋮ Fock-Sobolev spaces of fractional order ⋮ Difference of composition operators on spaces of vector-valued holomorphic functions ⋮ Difference of composition operators over the half-plane ⋮ Associated weights for spaces ofp-integrable entire functions ⋮ Compact double differences of composition operators on the Bergman spaces ⋮ Compact double differences of composition operators over the half-plane ⋮ Positive Toeplitz operators between different doubling Fock spaces ⋮ Carleson measures and Toeplitz operators on doubling Fock spaces ⋮ Fock-Sobolev spaces and their Carleson measures ⋮ Products of Toeplitz operators on the Fock space ⋮ Toeplitz composition operators on the Fock space ⋮ Some characterizations for composition operators on the Fock spaces ⋮ Carleson type measures for Fock-Sobolev spaces ⋮ FRACTIONAL FOCK–SOBOLEV SPACES ⋮ Topological and dynamical properties of composition operators ⋮ Difference of composition operators on the Bergman spaces over the ball ⋮ Multi-valued weighted composition operators on Fock space ⋮ Bounded composition operators on general weighted Hardy spaces

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