From Zygmund space to Bergman-Zygmund space

DOI10.1007/s43037-024-00369-3MaRDI QIDQ6613287

Hong Rae Cho, Hyungwoon Koo, Young Joo Lee

Publication date: 2 October 2024

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Lorentz-Zygmund spacesZygmund spacesinterpolation between spacesBergman-Zygmund spaces

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) Interpolation between normed linear spaces (46B70) Bergman spaces and Fock spaces (30H20) Zygmund spaces (30H40)

Cites Work

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• Carleson measures for the area Nevanlinna spaces and applications
• The essential norm of a composition operator
• Uniform rectifiability from Carleson measure estimates and {\(\epsilon\)}-approximability of bounded harmonic functions
• On L(p,q) spaces
• Interpolations by bounded analytic functions and the corona problem
• Compact composition operators on Bergman-Orlicz spaces
• Multipliers of Bergman spaces into Lebesgue spaces
• Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces
• Weak‐type estimates for the Bergman projection on the polydisc and the Hartogs triangle
• Lp Estimates for (Pluri-) Subharmonic Functions.
• Note on the class LlogL
• Convolution of L(p, q) Functions
• Singular integrals and periodic functions
• Composition operators on Hardy-Orlicz spaces
• Optimal interpolation in spaces of Lorentz-Zygmund type
• Extrapolation of Carleson measures and the analyticity of Kato's square-root operators.

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