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1996 Carleson embeddings
Helmut J. Heiming
Abstr. Appl. Anal. 1(2): 193-201 (1996). DOI: 10.1155/S1085337596000097


In this paper we discuss several operator ideal properties for so called Carleson embeddings of tent spaces into specific Lq(μ)-spaces, where μ is a Carleson measure on the complex unit disc. Characterizing absolutely q-summing, absolutely continuous and q-integral Carleson embeddings in terms of the underlying measure is our main topic. The presented results extend and integrate results especially known for composition operators on Hardy spaces as well as embedding theorems for function spaces of similar kind.


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Helmut J. Heiming. "Carleson embeddings." Abstr. Appl. Anal. 1 (2) 193 - 201, 1996.


Published: 1996
First available in Project Euclid: 7 April 2003

zbMATH: 0937.47024
MathSciNet: MR1401614
Digital Object Identifier: 10.1155/S1085337596000097

Primary: 47B10
Secondary: ‎46E15 , 47B38

Keywords: absolutely summing operator , Carleson embedding , Carleson measure , Composition operator , Hardy space , ‎tent space

Rights: Copyright © 1996 Hindawi

Vol.1 • No. 2 • 1996
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