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Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces
In this paper, we characterize the closures of holomorphic tent spaces in weighted Bloch spaces in terms of natural level sets, where the holomorphic...
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Embedding of Besov Spaces into Tent Spaces and Applications
AbstractIn this paper, we study the boundedness and compactness of the inclusion map** from Besov spaces to tent spaces. Meanwhile, the...
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Carleson Measures and Toeplitz Type Operators on Hardy Type Tent Spaces
In this paper, we obtain some characterizations on Carleson measures for Hardy type tent spaces on the unit ball through products of functions. As...
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Preliminaries on Function Spaces
This chapter contains all necessary background on function spaces that will be used later on. -
Real Structure in Operator Spaces, Injective Envelopes and G-spaces
We present some more foundations for a theory of real structure in operator spaces and algebras, in particular concerning the real case of the theory...
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The Classical Spaces
In this chapter, the properties of the main normed spaces are explored:... -
Carleson measures and Berezin-type operators on Fock spaces
We characterize (vanishing) Fock–Carleson measures by products of functions in Fock spaces. We also study the boundedness of Berezin-type operators...
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Operator-Adapted Spaces
Operator-adapted Hardy–Sobolev spaces are our main tool in this monograph and will be essential for understanding most of the following chapters....