Sökning: "Lorentz operator"
Visar resultat 1 - 5 av 8 avhandlingar innehållade orden Lorentz operator.
1. Forever Young : Convolution Inequalities in Weighted Lorentz-type Spaces
Sammanfattning : This thesis is devoted to an investigation of boundedness of a general convolution operator between certain weighted Lorentz-type spaces with the aim of proving analogues of the Young convolution inequality for these spaces.Necessary and sufficient conditions on the kernel function are given, for which the convolution operator with the fixed kernel is bounded between a certain domain space and the weighted Lorentz space of type Gamma. LÄS MER
2. Modelling and measuring transport in fusion plasmas
Sammanfattning : In the present thesis we consider theoretical and experimental aspects of the turbulent transport which is a crucial issue in fusion plasma physics.Experimental observations and gyrokinetic simulations show that collisions strongly influence the turbulent flux of particles. 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. On Lorentz Invariance, Regularity and Global Existence for Kinetic Equations
Sammanfattning : [A1] Regularity of the gain term and strong L1 convergence to equilibrium for the relativistic Boltzmann equation. The main purpose of the paper is to show that the gain term of the relativistic collision operator is regularizing. This is a generalization of P.L. LÄS MER
5. On various aspects of extended objects
Sammanfattning : This thesis concerns classical and quantum aspects of minimal manifolds embedded in flat Minkowski space. In particular, we study the Lie algebra of diffeomorphisms on 2 dimensional compact manifolds as well as discuss singularity formation for relativistic minimal surfaces in co-dimension one. LÄS MER