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Showing 1 to 6 of 6 for “"Bergman spaces"”.
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Closed-Range Composition Operators on Weighted Bergman Spaces and Applications
… Operator to be closed range on the weighted Bergman spaces. The function phi is an analytic self map of the unit disk and our results extend those previously intended for the classical Bergman space. We will also give applications. </p>
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A class of weighted Bergman spaces, reducing subspaces for multiple weighted shifts, and dilatable operators
… Chapter 2 we will introduce a class of weighted Bergman spaces. We then will discuss some properties about the multiplication operator, Mz , on them. We also characterize the dual spaces of these weighted Bergman spaces. In Chapter 3 we will characterize the reducing subspaces of multiple …
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Conjugate operator on variable harmonic Bergman space
… classical methods in constant exponent Hardy and Bergman spaces and developing new ways for the modern variable exponent spaces, we will study the harmonic conjugate operator on variable exponent Bergman spaces and prove that the operator is bounded when the exponent has positive minimum and …
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Wavelets, Coorbit Theory, and Projective Representations
<p>Banach spaces of functions, or more generally, of distributions are one of the main topics in analysis. In this thesis, we present an abstract framework for construction of invariant Banach function spaces from projective group representations. Coorbit theory gives a unified method to construct …
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On the Integrability of Derivatives of Holomorphic and M-Subharmonic Inner Functions In the Unit Ball of Cn
… a > -1 and p > 0 then Apa denotes the weighted Bergman space of all holomorphic functions weighted by (1-|z|^2)a and for 0 < q < 1, set Bq := A1(n/q)-n-1. For p > 0 let Hp denote the usual Hardy space of holomorphic functions on the ball. </p> <p>In this dissertation, we consider derivatives of …
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Blaschke Decompositions on Weighted Hardy Spaces and the Unwinding Series
… of Blaschke decompositions on weighted Hardy spaces was initiated by Coifman and Steinerberger, under the assumption that the complex valued function F has an analytic extension to D_1+ε for some ε > 0. This provided bounds on weighted Hardy norms involving a single zero, α ∈ D, of F and its …