Sökning: "Lebesgue spaces"
Visar resultat 1 - 5 av 15 avhandlingar innehållade orden Lebesgue spaces.
1. 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
2. Estimates for Hardy-type integral operators in weighted Lebesgue spaces
Sammanfattning : This PhD thesis deals with the theory of Hardy-type inequalities in a new situation, namely when the classical Hardy operator is replaced by a more general operator with a kernel. The kernels we consider belong to the new classes $\mathcal{O}^+_n$ and $\mathcal{O}^-_n$, $n=0,1,... LÄS MER
3. Properties of wave-front sets and non-tangential convergence
Sammanfattning : In this thesis we consider regularity properties for solutions to partial differential equations and pseudo-differential equations. The thesis mainly concerns wave-front sets and micro-local properties. LÄS MER
4. Inequalities for some classes of Hardy type operators and compactness in weighted Lebesgue spaces
Sammanfattning : This PhD thesis is devoted to investigate weighted differential Hardy inequalities and Hardy-type inequalities with the kernel when the kernel has an integrable singularity, and also the additivity of the estimate of a Hardy type operator with a kernel.The thesis consists of seven papers (Papers 1, 2, 3, 4, 5, 6, 7) and an introduction where a review on the subject of the thesis is given. LÄS MER
5. Boundedness of some linear operators in various function spaces
Sammanfattning : This PhD thesis is devoted to boundedness of some classical linear operators in various function spaces. We prove boundedness of weighted Hardy type operators and the weighted Riesz potential in Morrey—Orlicz spaces. Furthermore, we consider central Morrey—Orlicz spaces and prove boundedness of the Riesz potential in these spaces. LÄS MER