Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 13 of 13 for “"P-spaces"”.
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H(p) Spaces and Inequalities in Ergodic Theory
This thesis combines the theory of ergodic Hp spaces, singular integral operators and the theory of Banach space-valued operators to establish a new method to study the inequalities for the operators induced by an ergodic, measure preserving transformation. This method also indicates the close …
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Convergence of Convolution Operators and Weighted Averages in L(P) Spaces
… to have pointwise convergence in some Lp spaces and not in others along the Individual Ergodic Theorem. We show that the same behavior is possible for perturbed moving averages and convolution operators induced by approximate identities. Furthermore, we study weighted versions of moving …
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Regularity of the D-bar-Neumann Operator, the Bergman Projection and the Canonical Solution Operator of D-bar-Equation
… Bergman projection on the weighted $L^p$ spaces on the unit disk. As a consequence, we obtain the boundedness of the Bergman projection on weighted Sobolev space on the symmetrized bidisk. We also improve previous results on the boundedness of the Bergman projection on unweighted $L^p$ …
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Homology of Group Von Neumann Algebras
… groups. Modules other than N(G), such as L^p-spaces and group C*-algebras, are considered as well. The primary tool that is used to achieve many of these results is group homology.
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Critical perturbations of elliptic operators by lower order terms
… on the coefficients in certain critical Lebesgue spaces. Our results are perturbative in nature, asserting that if a certain operator L₀ has good properties (as far as boundedness and invertibility of certain associated solution operators), then the same is true for L₁, whenever the coefficients …
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Applications of the fourier transform to convex geometry
… problem in hyperbolic and spherical spaces, and the lower dimensional Busemann-Petty problem in the hyperbolic space. In the Euclidean space we modify the assumptions of the original Busemann-Petty problem to guarantee the affirmative answer in all dimensions. In chapter five we …
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A SYSTEM OF SUPERLINEAR ELLIPTIC EQUATIONS IN A CYLINDER
… the nonlinear term embeds into different $L^p$ spaces as the dimension $n$ varies. We point out that there is a regularizing effect in the system which leads to a larger exponent than the Brezis-Turner exponent.
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Well-posedness and scattering of the Chern-Simons-Schrödinger system
… system is locally well-posed in the Sobolev spaces $H^s$ for $s\ge 1$, and that the solution map satisfies a weak Lipschitz continuity estimate. The main technical difficulty is the presence of a derivative nonlinearity, which rules out the naive iteration scheme for proving well-posedness. …
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Weyl Pseudodifferential Calculus and the Heisenberg Group in New Settings
… boundedness of operators on weighted $L^p$ spaces over $\mathbb{R}^d$ with weights of the form $exp(-\phi(x))$, for $\phi(x)$ a $C^2$ function, a setting in which the operator associated to the weighted Dirichlet form typically has only holomorphic functional calculus. A symbol class giving …
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Studies in system representation and control
… all operators defined on $\ell\sb{p}$ spaces, $p\in\lbrack1, \infty$) that can be represented by an infinite-matrix kernel. We obtain a characterization of complete and closed behaviors in terms of finite-horizon systems. We give a new definition of stabilizability and obtain a …
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Poletsky-Stessin Hardy Spaces on the Unit Disk
… boundary values) led to the appearance of Hardy spaces $H^p(\mathbb{D})$, $p\ge1$. If a function lies in a Hardy space then its boundary values can be defined and its values on $\mathbb{D}$ can be obtained using standard Cauchy or Poisson formulas.</p> <p> The theory of Hardy spaces …
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The Foundations of Infinite-Dimensional Spectral Computations
… field of spectral theory of separable Hilbert spaces?” The boundaries of what computers can achieve in computational spectral theory and mathematical physics are unknown, leaving many open questions that have been unsolved for decades. This thesis provides solutions to several such …