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http://hdl.handle.net/2445/96889
Title: | Boundary multipliers of a family of Möbius invariant spaces |
Author: | Bao, Guanlong Pau, Jordi |
Keywords: | Funcions de variables complexes Funcions analítiques Anàlisi funcional Functions of complex variables Analytic functions Functional analysis |
Issue Date: | 2016 |
Publisher: | Academia Scientiarum Fennica |
Abstract: | For $1<p<\infty$ and $0<s<1$, we consider the function spaces $\mathcal{Q}_s^p(\mathbb{T})$ that appear naturally as the space of boundary values of a certain family of analytic Möbius invariant function spaces on the the unit disk. In this paper, we give a complete description of the pointwise multipliers going from $Q_s^{p_1}(\mathbb{T})$ to $Q_r^{p_2}(\mathbb{T})$ for all ranges of $1<p_1, p_2<\infty$ and $0<s,r<1$. The spectra of such multiplication operators is also obtained. |
Note: | Reproducció del document publicat a: http://dx.doi.org/10.5186/aasfm.2016.4113 |
It is part of: | Annales Academiae Scientiarum Fennicae. Mathematica, 2016, vol. 41, num. 1, p. 199-220 |
URI: | http://hdl.handle.net/2445/96889 |
Related resource: | http://dx.doi.org/10.5186/aasfm.2016.4113 |
ISSN: | 1239-629X |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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File | Description | Size | Format | |
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658909.pdf | 263.69 kB | Adobe PDF | View/Open |
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