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Description of  Maximal Function Methods for Sobolev Spaces (Mathematical Surveys and Monographs, 257)

1470465752 pdf There are many good texts on using maximal functions in harmonic analysis, but Kinnunen, Lehrbck, and Vhkangas felt that there was room for a source book gathering developments in maximal function methods related to Poincar and Sobolev inequalities, pointwise estimates and approximations for Sobolev functions, Hardy's inequalities, and partial differential equations. A recurring theme throughout the book is self-improvement of uniform quantitative conditions, they say, and they restrict their attention to prototypes in Euclidean spaces to avoid extra complication. Annotation 2021 Ringgold, Inc., Portland, OR (protoview.com)