Sobolev-Type Spaces : Properties of Newtonian Functions Based on Quasi-Banach Function Lattices in Metric Spaces.

Format:

Book

Author/Creator:

Malý, Lukáš.

Series:

Linköping Studies in Science and Technology. Dissertations

Linköping Studies in Science and Technology. Dissertations ; v.1591

Language:

English

Subjects (All):

Function spaces.

Sobolev spaces.

Physical Description:

1 online resource (33 pages)

Edition:

1st ed.

Other Title:

Linköping Studies in Science and Technology. Dissertations

Sobolev-Type Spaces

Place of Publication:

Linköping : Linköping University Electronic Press, 2014.

Summary:

This thesis explores the mathematical concept of function spaces, with a focus on Newtonian spaces and their applications in Euclidean and metric spaces. The work delves into the summability of gradients and their implications for absolute continuity, offering insights into the regularity conditions for Newtonian functions. The thesis includes discussions on Lipschitz functions, weak upper gradients, and the approximation of Sobolev functions, highlighting the importance of these concepts in the study of partial differential equations and mathematical analysis. Intended for an academic audience, the thesis contributes to the understanding of advanced mathematical theories and their practical applications. Generated by AI.

Contents:

Intro

Abstract

Populärvetenskaplig sammanfattning

Acknowledgements

Contents

Introduction

Background

1 Sobolev spaces and variations thereupon

2 Quasi-Banach Function Lattices

3 Doubling measures

4 Poincaré inequalities

5 Maximal operators of Hardy-Littlewood type

6 Quasi-continuity

Summary of papers

References.

Notes:

Description based on publisher supplied metadata and other sources.

Part of the metadata in this record was created by AI, based on the text of the resource.

ISBN:

9789175193540

917519354X

OCLC:

945866752