Sökning: "Weighted integral inequalities"
Visar resultat 1 - 5 av 18 avhandlingar innehållade orden Weighted integral inequalities.
1. Weighted multidimensional integral inequalities and applications
Sammanfattning : In this thesis some new weighted integral inequalities for monotone functions in higher dimensions are proved. These results extend previous results in one dimension, and also those in higher dimensions for particular choices of the weights (power weights, etc.). All inequalities are sharp. LÄS MER
2. New weighted inequalities with applications to pseudodifferential operators
Sammanfattning : This thesis is devoted to weighted integral inequalities and their applications to the study of boundary behavior of solutions to Dirichlet's problem for fractional powers of the Laplacian.We obtain a necessary and sufficient condition on μ for the operator (—Δ)μin R 0 , 0 ... LÄS MER
3. The Weighted Space Odyssey
Sammanfattning : 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. LÄS MER
4. Weighted inequalities of Hardy-type and their limiting inequalities
Sammanfattning : This thesis deals with various generalizations of two famous inequalities namely the Hardy inequality and the Pólya-Knopp inequality and the relation between them. In Chapter 1 we give an introduction and overview of the area that serves as a frame for the rest of the thesis. LÄS MER
5. Studies of some Operators of Harmonic Analysis in certain Function Spaces with Applications to PDEs
Sammanfattning : 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. LÄS MER