Maximal Function Methods for Sobolev Spaces

Maximal Function Methods for Sobolev Spaces

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This book discusses advances in maximal function methods related to Poincaré and Sobolev inequalities, pointwise estimates and approximation for Sobolev functi

Fractional Sobolev Spaces and Inequalities

Fractional Sobolev Spaces and Inequalities

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The fractional Sobolev spaces studied in the book were introduced in the 1950s by Aronszajn, Gagliardo and Slobodeckij in an attempt to fill the gaps between th