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COMPACT WEIGHTED COMPOSITION OPERATORS ON -SPACES

CHING-ON LO ANTHONY WAI-KEUNG LOH
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Abstrak

Let $u$ and $\unicode[STIX]{x1D711}$ be two analytic functions on the unit disc $D$ such that $\unicode[STIX]{x1D711}(D)\subset D$ . A weighted composition operator $uC_{\unicode[STIX]{x1D711}}$ induced by $u$ and $\unicode[STIX]{x1D711}$ is defined by $uC_{\unicode[STIX]{x1D711}}f:=u\cdot f\circ \unicode[STIX]{x1D711}$ for every $f$ in $H^{p}$ , the Hardy space of $D$ . We investigate compactness of $uC_{\unicode[STIX]{x1D711}}$ on $H^{p}$ in terms of function-theoretic properties of $u$ and $\unicode[STIX]{x1D711}$ .

Penulis (2)

C

CHING-ON LO

A

ANTHONY WAI-KEUNG LOH

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APA MLA BibTeX
LO, C., LOH, A.W. (2019). COMPACT WEIGHTED COMPOSITION OPERATORS ON -SPACES. https://doi.org/10.1017/s0004972719000200

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Informasi Jurnal
Tahun Terbit
2019
Bahasa
en
Total Sitasi
1×
Sumber Database
CrossRef
DOI
10.1017/s0004972719000200
Akses
Open Access ✓