Maximal Function Methods for Sobolev Spaces Sean Seyer Authors Rick Houser

Authors Rick Houser

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Maximal Function Methods for Sobolev Spaces Sean Seyer Authors Rick HouserThis book discusses advances in maximal function methods related to Poincare and Sobolev inequalities, pointwise estimates and approximation for Sobolev functions, Hardy's inequalities, and partial differential equations. Capacities are needed for fine properties of Sobolev functions and characterization of Sobolev spaces with zero boundary values. The authors consider several uniform quantitative conditions that are self improving, such as Hardy's