On some Riesz and Carleman type inequalities for harmonic functions in the unit disk

DOI10.1007/S40315-017-0226-YzbMath1407.31001arXiv1701.03429OpenAlexW2594585971MaRDI QIDQ1653345

David Kalaj, Elver H. Bajrami

Publication date: 3 August 2018

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.03429

zbMATH Keywords

harmonic Hardy spaceharmonic Bergman space

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)

Related Items (3)

Contraction property of certain classes of log-\(\mathcal{M}\)-subharmonic functions in the unit ball ⋮ Hollenbeck-Verbitsky conjecture on best constant inequalities for analytic and co-analytic projections ⋮ On Riesz type inequalities for harmonic mappings on the unit disk

Cites Work

• Isoperimetric inequality for the polydisk
• Isoperimetric type inequalities for harmonic functions
• New proofs of the isoperimetric inequality and some generalizations
• Best constants for the Riesz projection
• Improvement of isoperimetric type inequality for harmonic functions in the case \(p = 4\)
• The isoperimetric type and Fejer-Riesz type inequalities for pluriharmonic mappings
• Sharp integral inequalities for harmonic functions
• On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov
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