Hardy spaces in Reinhardt domains, and Hausdorff operators

zbMath1214.47033MaRDI QIDQ610637

Elijah Liflyand, L. A. Ajzenberg

Publication date: 8 December 2010

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1290435337

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Linear operators on function spaces (general) (47B38) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Hardy spaces (30H10)

Related Items (10)

Pluricapacity and approximation numbers of composition operators ⋮ New classes of function spaces and singular operators ⋮ Approximation via Hausdorff operators ⋮ A class of Hausdorff-Berezin operators on the unit disc ⋮ Duality for Hardy spaces in domains of \(\mathbb {C}^n\) and some applications ⋮ Norm convergence of partial sums of H1 functions ⋮ Multilinear fractional Hausdorff operators ⋮ Hausdorff operators on some spaces of holomorphic functions on the unit disc ⋮ Hausdorff operators on Bergman spaces of the upper half plane ⋮ Generalized Hausdorff-Zhu operators on Möbius invariant spaces

Cites Work

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• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Hausdorff operator on the unit polydisk in
• Hausdorff and Quasi-Hausdorff Matrices on Spaces of Analytic Functions
• Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)
• The Cesaro Operator is Bounded on H 1
• Hausdorff matrices and composition operators

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