Riemann--Stieltjes operators between Bergman-type spaces and \(\alpha \)-Bloch spaces

DOI10.1155/IJMMS/2006/86259zbMath1136.47022OpenAlexW2090815120MaRDI QIDQ2469038

Songxiao Li

Publication date: 1 February 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/54072

zbMATH Keywords

boundednessintegral operatorcompactnessBloch functionsBergman type functions

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Cites Work

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• Forelli--Rudin estimates, Carleson measures and \(F(p,q,s)\)-functions
• Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation
• Composition operators from Bloch type spaces to Hardy and Besov spaces
• Cesàro-type operators on Hardy, \(BMOA\) and Bloch spaces
• Some properties of fractional integrals. II
• An integral operator on \(H^ p\) and Hardy's inequality.
• The multipliers between the mixed norm spaces in \(\mathbb C^n\)
• On an integral operator on the unit ball in \(\mathbb{C}^n\)
• Composition Semigroups and the Cesàro Operator OnH ^p
• Integration operators on Bergman spaces
• The Cesaro Operator is Bounded on H p for 0 < p < 1
• Boundedness of the Cesàro operator on mixed norm spaces
• Pointwise multipliers from BMOA ^α to BMOA ^β
• Extended Cesàro operators on mixed norm spaces
• The generalized Cesáro operator on Dirichlet spaces
• RIEMANN–STIELTJES OPERATORS ON WEIGHTED BLOCH AND BERGMAN SPACES OF THE UNIT BALL
• Compact Composition Operators on the Bloch Space
• An Integral Operator on H^p
• The Cesaro Operator is Bounded on H 1