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Dissertations and Theses  Mathematics
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(20160825)One of the widely studied topics in singular integral operators is T1 theorem. More precisely, it asks if one can extend a Calder\'onZygmund operator to a bounded operator on $L^p$. In addition, Tb theorem was raised when ...
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(20161201)A graph is {\it reconstructible} if it is determined by its {\it deck} of unlabeled subgraphs obtained by deleting one vertex; a {\it card} is one of these subgraphs. The {\it Reconstruction Conjecture} asserts that all ...
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(1941)
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(20160712)In this thesis we consider two types of nonsymmetric processes, which are similar to the symmetric αstable process. We derive sharp estimates for the eigenfunctions of the Feynman Kac semigroups of these two types of ...
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(20160714)In this dissertation, we will focus on a few problems in extremal graph theory. The first chapter consists of some basic terms and tools. In Chapter 2, we study a conjecture of Mader on embedding subdivisions of cliques. ...
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