Search for dissertations about: "Hardy space"

Showing result 1 - 5 of 20 swedish dissertations containing the words Hardy space.

2. 1. The Weighted Space Odyssey

   Author : Martin Křepela; Sorina Barza; Gord Sinnamon; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; integral operators; supremal operators; weights; weighted function spaces; Lorentz spaces; Lebesgue spaces; convolution; Hardy inequality; multilinear operators; nonincreasing rearrangement; Matematik; Mathematics;

   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

4. 2. Improved Lp Hardy Inequalities

   Author : Jesper Tidblom; Ari Laptev; Andrzej Szulkin; Achilles Tertikas; Stockholms universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Spectral theory; Hardy inequality; MATHEMATICS; MATEMATIK;

   Abstract : Paper 1 : A geometrical version of Hardy's inequality for W_0^{1,p}(D).The aim of this article is to prove a Hardy-type inequality, concerning functions in W_0^{1,p}(D) for some domain D in R^n, involving the volume of D and the distance to the boundary of D. The inequality is a generalization of a previously proved inequality by M. and T. READ MORE

5. 3. Harmonic measures

   Author : Jonatan Vasilis; Göteborgs universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; NATURVETENSKAP; NATURAL SCIENCES; harmonic measure; square root of the Poisson kernel; Hardy space; p-Laplace operator; random walk; regular tree; discrete minimal thinness; Hardy space;

   Abstract : This thesis uses both analytic and probabilistic methods to study continuous and discrete problems. The main areas of study are the asymptotic properties of p-harmonic measure, and various aspects of the square root of the Poisson kernel. Fix a domain and a boundary point, subject to certain regularity conditions. READ MORE

6. 4. Multipoint Padé approximants used for piecewise rational interpolation and for interpolation to functions of Stieltjes' type

   Author : Jan Gelfgren; Umeå universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; Continued fractions; Hardy space; Padé approximant; series of Stieltjes;

   Abstract : A multipoint Padë approximant, R, to a function of Stieltjes1 type is determined.The function R has numerator of degree n-l and denominator of degree n.The 2n interpolation points must belong to the region where f is analytic,and if one non-real point is amongst the interpolation points its complex-conjugated point must too. READ MORE

7. 5. Some New Contributions in the Theory of Hardy Type Inequalities

   Author : Markos Fisseha Yimer; Sorina Barza; Lars-Erik Persson; Martin Lind; Liviu-Gabriel Marcoci; Lubos Pick; Karlstads universitet; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; integral inequalities; Hardy-type inequalities; Pólya-Knopp’s inequality; Jensen’s inequality; Minkowski’s inequality; Beckenbach-Dresher’s inequality; sharp constants; measures; superquadratic functions; refinements; Banach function spaces; Matematik; Mathematics;

   Abstract : In this thesis we derive various generalizations and refinements of some classical inequalities in different function spaces. We consider some of the most important inequalities namely the Hardy, Pólya-Knopp, Jensen, Minkowski and Beckenbach-Dresher inequalities. The main focus is put on the Hardy and their limit Pólya-Knopp inequalities. READ MORE