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Tag Archives: Sobolev inequality
Lecture notes: A short introduction to Dirichlet spaces
Here are the lecture notes of the minicourse given at NYU Abu Dhabi.
Lecture 6. Gagliardo-Nirenberg inequalities in Dirichlet spaces
Let (X,μ,ℰ,ℱ) be a Dirichlet space and {Pt}t∈[0,∞) denote the associated Markovian semigroup. Throughout the lecture, we shall assume that P_t admits a measurable heat kernel pt(x,y) satisfying, for some C > 0 and β > 0, for μ × … Continue reading
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