A First Course in Fractional Sobolev Spaces Linda S. Kane Central to their philosophy is

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A First Course in Fractional Sobolev Spaces Linda S. Kane Central to their philosophy isThis book provides a gentle introduction to fractional Sobolev spaces which play a central role in the calculus of variations, partial differential equations, and harmonic analysis. The first part deals with fractional Sobolev spaces of one variable. It covers the definition, standard properties, extensions, embeddings, Hardy inequalities, and interpolation inequalities. The second part deals with fractional Sobolev spaces of several variables. The