Extrapolation theory for the real interpolation method

We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Omega

Country

Spain

Related Organizations

Autonomous University of Barcelona
Spain
University of Barcelona
Spain

Keywords

extrapolation, Extrapolation, Yano's theorem, Maximal and minimal Lorentz spaces, Interpolation, real interpolation, Sobolev embeddings, Interpolació (Matemàtica), Real interpolation, Riesz potentials, Abstract interpolation of topological vector spaces, Zygmund's theorem, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

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