Extended Cesàro operator between some holomorphic function spaces

DOI10.1017/S0004972700040442zbMath1113.47020OpenAlexW2146976094MaRDI QIDQ3417670

Xiaofen Lv

Publication date: 30 January 2007

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700040442

zbMATH Keywords

Cesàro operatorBloch-type spacemixed norm space

Mathematics Subject Classification ID

Normal functions of one complex variable, normal families (30D45) Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Bergman spaces of functions in several complex variables (32A36) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items (1)

Equivalent norms on generalized Fock spaces and the extended Cesàro operators

Cites Work

• Schlichte Funktionen und analytische Funktionen von beschränkter mittlerer Oszillation
• Cesàro-type operators on Hardy, \(BMOA\) and Bloch spaces
• An integral operator on \(H^ p\) and Hardy's inequality.
• Extended Cesàro operators on Bergman spaces
• On the Bergman space norm of the Cesàro operator
• 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
• Extended Cesàro operators on mixed norm spaces

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