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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
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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
New Analytic and Geometric Methods in Inverse Problems
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In inverse problems, the aim is to obtain, via a mathematical model, information on quantities that are not directly observable but rather depend on other obser
Maximal Cohen–Macaulay Modules and Tate Cohomology
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This book is a lightly edited version of the unpublished manuscript Maximal Cohen–Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Bu