Composition operators between Nevanlinna-type spaces

Authors
Citation
Js. Choa et Ho. Kim, Composition operators between Nevanlinna-type spaces, J MATH ANAL, 257(2), 2001, pp. 378-402
Citations number
29
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
257
Issue
2
Year of publication
2001
Pages
378 - 402
Database
ISI
SICI code
0022-247X(20010515)257:2<378:COBNS>2.0.ZU;2-6
Abstract
We study composition operators between "Nevanlinna-type" spaces N, N+, M, a nd N-P(P > 1). Certain "Sarason-type" conditions and Carleson measure condi tions are shown to be necessary and sufficient for such operators to be "me trically bounded" or "metrically compact." (C) 2001 Academic Press.