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Aug
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Apr
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Dec
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accepted A question about continuous functions
Dec
17
asked A question about continuous functions
Nov
15
comment Question about the Ascoli-Arzelá Theorem proof
Why the fact that $\{f_n: n \in \mathbb{N}\} \subset H$ implies that $\{f_n: n \in \mathbb{N}\}$ is equicontinuous?
Nov
15
asked Question about the Ascoli-Arzelá Theorem proof
Nov
1
accepted Open Mappinig Theorem doubts on Brezis's Book
Nov
1
comment Open Mappinig Theorem doubts on Brezis's Book
I understand now thank you.
Nov
1
comment Open Mappinig Theorem doubts on Brezis's Book
Thank you very much, I only don't undertand what do you mean by "balanced"?
Nov
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asked Open Mappinig Theorem doubts on Brezis's Book
Sep
30
awarded  Explainer
Sep
10
comment How are the essential upper and lower limits defined?
But there $\operatorname*{ess\,sup} F(x) = inf\{ a : \mu(\{x:f(x)>a\}) =\emptyset $. Can I conclude $\operatorname*{ess\,sup} F(x) = inf\{a: \mu(0<|x-x^*|<0 : \{f>a\}) =\emptyset $?
Sep
10
comment How are the essential upper and lower limits defined?
I thank your answer. But, what does $\operatorname*{ess\,sup}_{0<|x-x^*|<r} F(x)$ mean? Would you mind give a reference?
Sep
9
revised How are the essential upper and lower limits defined?
edited body
Sep
9
comment How are the essential upper and lower limits defined?
Is related but it is different.
Sep
9
asked How are the essential upper and lower limits defined?
Sep
7
accepted BMO functions are $L^p$ Loc for all $1<p<\infty$