Search for dissertations about: "Hardy Operators"
Showing result 1 - 5 of 31 swedish dissertations containing the words Hardy Operators.
-
1. Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs
Abstract : The study in this PhD thesis aims at development of certain mathematical methods used in applications, in particular, in the study of regularity properties of solutions in various mathematical models described by Partial Differential Equations (PDEs). To this end, we study various operators of harmonic analysis in certain function spaces, since solutions to many PDEs may be expressed in terms of such operators. READ MORE
-
2. Resolvent Estimates and Bounds on Eigenvalues for Schrödinger and Dirac Operators
Abstract : This thesis concerns the spectral theory of Schrödinger and Dirac operators. The main results relate to the problems of estimating perturbed eigenvalues. The thesis is based on four papers.The first paper focuses on the problem of localization of perturbed eigenvalues for multidimensional Schrödinger operators. READ MORE
-
3. Schrödinger Operators in Waveguides
Abstract : In this thesis, which consists of four papers, we study the discrete spectrum of Schrödinger operators in waveguides. In these domains the quadratic form of the Dirichlet Laplacian operator does not satisfy any Hardy inequality. READ MORE
-
4. The Weighted Space Odyssey
Abstract : The common topic of this thesis is boundedness of integral and supremal operators between weighted function spaces.The first type of results are characterizations of boundedness of a convolution-type operator between general weighted Lorentz spaces. READ MORE
-
5. Hardy-Lieb-Thirring inequalities for eigenvalues of Schrödinger operators
Abstract : This thesis is devoted to quantitative questions about the discrete spectrum of Schrödinger-type operators. In Paper I we show that the Lieb-Thirring inequalities on moments of negative eigen¬values remain true, with possibly different constants, when the critical Hardy weight is subtracted from the Laplace operator. READ MORE