The $S^p$-criterion for Hankel forms on the Fock space, $0 < p < 1$.

DOI10.7146/math.scand.a-12251zbMath0722.47025OpenAlexW2530738053MaRDI QIDQ3209681

Robert Wallstén

Publication date: 1989

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186110

zbMATH Keywords

decomposition theoremSchatten classHilbert spaces of analytic functionsHankel form

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (14)

On the differential and Volterra-type integral operators on Fock-type spaces ⋮ Generalized Volterra companion operators on Fock spaces ⋮ Strong hypercontractivity and logarithmic Sobolev inequalities on stratified complex Lie groups ⋮ On complex hypercontractivity ⋮ Toeplitz operators on Fock spaces \(F^p(\varphi)\) ⋮ Gaussian integral means of entire functions ⋮ AN INTEGRAL REPRESENTATION FOR BESOV AND LIPSCHITZ SPACES ⋮ Invariance of Fock spaces under the action of the Heisenberg group ⋮ Carleson type measures for Fock-Sobolev spaces ⋮ Fredholm Toeplitz operators with VMO symbols and the duality of generalized Fock spaces with small exponents ⋮ Atomic decomposition and duality for a class of Fock spaces ⋮ A Volterra-type integration operator on Fock spaces ⋮ Weighted composition operator on the Fock space ⋮ Hypercontractivity over complex manifolds

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