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Now showing items 31-35 of 35
Weighted Norm Inequalities for Weyl Multipliers and Hermite Pseudo-Multipliers
(2018-05-30)
In this thesis we deal with two problems in harmonic analysis. In the first problem we discuss weighted norm inequalities for Weyl multipliers satisfying Mauceri’s condition. As an application, we prove certain multiplier ...
Dynamical Properties of Families of Holomorphic Mappings
(2018-06-08)
Thesis Abstract
In the first part of the thesis, we study some dynamical properties of skew products of H´enon maps of C2 that are fibered over a compact metric space M . The problem reduces to understanding the dynamical ...
The Green's Function, the Bergman Kernel and Quadrature Domains in Cn
(2018-06-08)
In the first part of this thesis, we prove two density theorems for quadrature domains in Cn ,n≥2. It is shown that quadrature domains are dense in the class of all product domains of the form D×Ωwhere D⊂Cn−1 is a smoothly ...
The Caratheodory-Fejer Interpolation Problems and the Von-Neumann inequality
(2018-05-30)
The validity of the von-Neumann inequality for commuting $n$ - tuples of $3\times 3$ matrices remains open for $n\geq 3$. We give a partial answer to this question, which is used to obtain a necessary condition for the ...
The Space of Metric Measure Spaces
(2018-05-22)
This thesis is broadly divided in two parts. In the first part we give a survey of various distances between metric spaces, namely the uniform distance, Lipschitz distance, Hausdor distance and the Gramoz Hausdor distance. ...