Mean Lipschitz conditions on Bergman space

DOI10.1016/j.jmaa.2014.11.007zbMath1325.46027arXiv1312.4934OpenAlexW2028366402MaRDI QIDQ481955

Petros Galanopoulos, Aristomenis G. Siskakis, Georgios Stylogiannis

Publication date: 19 December 2014

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

Full work available at URL: https://arxiv.org/abs/1312.4934

zbMATH Keywords

Bergman spacesHardy spacesholomorphic functionsHardy-Littlewood theoremmean Lipschitz spaces

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)

Related Items (6)

Lipschitz-type conditions on homogeneous Banach spaces of analytic functions ⋮ Bergman-Hölder functions, area integral means and extremal problems ⋮ Mean Lipschitz conditions and growth of area integral means of functions in Bergman spaces with an admissible Békollé weight ⋮ Modulus of continuity with respect to semigroups of analytic functions and applications ⋮ Hausdorff operators on weighted Banach spaces of type \(H^\infty\) ⋮ Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Spaces of analytic functions on the disc where the growth of \(M_ p(F,r)\) depends on a weight
• Lipschitz conditions on the modulus of a harmonic function
• Mean Lipschitz spaces and bounded mean oscillation
• Criteria for membership of the mean Lipschitz spaces
• Besov-Lipschitz and mean Besov-Lipschitz spaces of holomorphic functions on the unit ball
• Volume integral means of holomorphic functions
• ON A PROBLEM OF HARDY-LITTLEWOOD
• On the moduli of continuity ofH^pfunctions with 0<p<1
• Function classes on the unit disc. An introduction
• Some results on mean Lipschitz spaces of analytic functions

This page was built for publication: Mean Lipschitz conditions on Bergman space