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Measure of set where functions are simultaneously bounded by their respective averages

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#real-analysis #probability #measure-theory #geometric-measure-theory
749
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Why is 3 a bad constant in the Vitali covering lemma (infinite version)?

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#real-analysis #measure-theory #geometric-measure-theory
65
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The closure of an open subset in $\mathbb{R}^d$ is Ahlfors regular?

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#geometric-measure-theory
195
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Convergence to zero in total variation: Seeking a contradiction

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#functional-analysis #measure-theory #bounded-variation #geometric-measure-theory #total-variation
181
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Minimizing total variation with small norm in a compact set

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#functional-analysis #measure-theory #bounded-variation #geometric-measure-theory #total-variation
170
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Constructing a function with constant line integral in $\mathbb{R}^n$?

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#integration #analysis #measure-theory #geometric-measure-theory
92
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Is finiteness of Assouad dimension a topological invariant for compact metric spaces?

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#real-analysis #metric-spaces #geometric-measure-theory #metric-geometry
300
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Hausdorff measure on non separable spaces

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#metric-spaces #geometric-measure-theory #hausdorff-measure
737
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Measure-theoretic boundary of a fat Cantor set

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#real-analysis #reference-request #geometric-measure-theory
327
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Doe a smooth function map positive measure sets to positive measure sets

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#general-topology #measure-theory #lebesgue-measure #analyticity #geometric-measure-theory
153
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relation between the Lebesgue measure and the perimeter of a set

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#measure-theory #partial-differential-equations #lebesgue-measure #geometric-measure-theory
134
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Is there a set whose essential boundary is the Cantor set?

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#real-analysis #geometric-measure-theory
357
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When does Brunn-Minkowski inequatily $(m(A+B))^{1/d} \geqslant (m(A))^{1/d} + (m(B))^{1/d}$ become equality?

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#real-analysis #measure-theory #convex-analysis #lebesgue-measure #geometric-measure-theory
164
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A geometric probability question

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#probability #probability-theory #measure-theory #geometric-measure-theory #geometric-probability
62
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Isoperimetric Inequality via Brunn-Minkowski is valid for every norm?

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#real-analysis #measure-theory #inequality #normed-spaces #geometric-measure-theory

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