Geometric Measure Theory
Geometric Measure Theory
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Harmonic Analysis & PDE research group
Harmonic Analysis & PDE research group
Participants
Leader: Mihalis Mourgoglou
Members: Andrea Merlo, Carlos Pérez, Michele Villa
General objectives
Quantitative Sobolev and differentiability theories on Ahlfors-regular sets (Mihalis Mourgoglou, with contributions from Andrea Merlo and Michele Villa on quantitative differentiation, and Carlos Pérez on weighted inequalities)
Relationship between Uniform Rectifiability and Lipschitz Differentiability spaces (Mihalis Mourgoglou, with contributions from Andrea Merlo, Michele Villa and Carlos Pérez)
Weighted and degenerate Poincaré inequality theory beyond the Euclidean case (Carlos Pérez, with contributions from Andrea Merlo, Mihalis Mourgoglou and Michele Villa)
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