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2014-04

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/96750

Carleson Measures, Riemann-Stieltjes and Multiplication Operators on a General Family of Function Spaces

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http://dx.doi.org/10.1007/s00020-014-2124-2

Abstract

Let $\mu$ be a nonnegative Borel measure on the unit disk of the complex plane. We characterize those measures $\mu$ such that the general family of spaces of analytic functions, $F (p,q,s)$ which contain many classical function spaces, including the Bloch space, $BMOA$ and the $Q_s$ spaces, are embedded boundedly or compactly into the tent-type spaces $T_{p,s}^\infty(\mu)$. The results are applied to characterize boundedness and compactness of Riemann-Stieltjes operators and multiplication operators on $F (p,q,s)$.

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Funcions de variables complexes, Funcions analítiques, Anàlisi harmònica, Anàlisi de Fourier

Subject (English)

Functions of complex variables, Analytic functions, Harmonic analysis, Fourier analysis

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Articles publicats en revistes (Matemàtiques i Informàtica)

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PAU, Jordi and ZHAO, Ruhan. Carleson Measures, Riemann-Stieltjes and Multiplication Operators on a General Family of Function Spaces. Integral Equations and Operator Theory. 2014. Vol. 78, num. 4, pags. 483-514. ISSN 0378-620X. [consulted: 10 of August of 2026]. Available at: https://hdl.handle.net/2445/96750

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