General fractional derivatives and the Bergman projection

DOI10.5186/AASFM.2020.4531zbMath1457.32008arXiv1810.02070OpenAlexW3035473810MaRDI QIDQ5118936

Antti Perälä

Publication date: 27 August 2020

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.02070

zbMATH Keywords

Besov spaceBergman spaceBergman projectionfractional derivativedoubling weight

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Bloch spaces (30H30) Besov spaces and (Q_p)-spaces (30H25)

Related Items (3)

Littlewood–Paley inequalities for fractional derivative on Bergman spaces ⋮ Two weight inequality for Hankel form on weighted Bergman spaces induced by doubling weights ⋮ On some classes with norms of meromorphic function spaces defined by general spherical derivatives

Cites Work

• Two weight inequality for Bergman projection
• Bergman and Hardy spaces with small exponents
• Bloch space and the norm of the Bergman projection
• On the optimal constant for the Bergman projection onto the Bloch space
• Weighted Bergman spaces induced by rapidly incresing weights
• Theory of Bergman Spaces in the Unit Ball of C^n
• Duality of weighted Bergman spaces with small exponents

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