Dirichlet Spaces with a Class of Nonradial Weights

Guanlong Bao ()
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Guanlong Bao: Shantou University, Department of Mathematics

Chapter 74 in Operator Theory, 2026, pp 2323-2344 from Springer

Abstract: Abstract This chapter contains some results and applications of Dirichlet spaces with a class of nonradial weights. These weights are defined by a family of potentials of positive Borel measures on the open unit disk. In particular, the applications of these Dirichlet spaces include some equivalent descriptions of the open problem of determining Carleson measures for the Bloch space.

Keywords: Dirichlet space; Bloch space; Q s $$\mathcal {Q}_s$$ space; Carleson measure; Composition operator (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/978-3-032-16356-1_105

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