Fractional derivatives of Bloch functions, growth rate, and interpolation

DOI10.1007/BF00053698zbMath0856.32003OpenAlexW1974687332MaRDI QIDQ1921961

Kyung Soo Rim, Boo Rim Choe

Publication date: 24 February 1997

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00053698

zbMATH Keywords

fractional derivativesBloch spaceholomorphic functions

Mathematics Subject Classification ID

Special families of functions of several complex variables (32A17) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (4)

Reverse estimates in growth spaces ⋮ Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space ⋮ On an integral-type operator from the Bloch space to mixed norm spaces ⋮ Representations and interpolations of harmonic Bergman functions on half-spaces

Cites Work

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• The Bergman Spaces, The Bloch Space, and Gleason's Problem
• Besov-type characterisations for the Bloch space
• A Bloch Function in the Ball with No Radial Limits
• Interpolating sequences for the derivatives of Bloch functions
• Suites D'Interpolation Pour les Classes de Bergman de la Boule et du Polydisque de Cⁿ
• Projections, the Weighted Bergman Spaces, and the Bloch Space

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