Gauged Sobolev inequalities |
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| Authors: | Umberto Mosco |
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| Institution: | 1. Worcester Polytechnic Institute , 100 Institute Road, Worcester, MA 01-609, USA mosco@WPI.edu |
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| Abstract: | We present two-scale Morrey–Sobolev inequalities for measure-valued Lagrangeans on quasi-metric balls, scaled according to refined power laws. The fine tuning is given by suitable gauge functions, typically of logarithmic type. Fractal examples with fluctuating geometry are described. |
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| Keywords: | Sobolev inequalities spaces of homogeneous type quasimetric spaces fractals |
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