Newbetuts
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New posts in measure-theory
Show $\lim \limits_{n \to \infty} \frac{a_{n+1}}{a_n} = \|f\|_{\infty}$ for $f \in L^{\infty}$
real-analysis
measure-theory
Separable measure space and diagonalization
measure-theory
operator-theory
spectral-theory
Example of a continuous function that is not Lebesgue measurable
real-analysis
measure-theory
Example where union of increasing sigma algebras is not a sigma algebra
probability-theory
measure-theory
If $\int_0^x f \ dm$ is zero everywhere then $f$ is zero almost everywhere
integration
measure-theory
lebesgue-integral
Generalisation of Dominated Convergence Theorem
measure-theory
convergence-divergence
lebesgue-integral
On the equality case of the Hölder and Minkowski inequalities
real-analysis
measure-theory
inequality
lp-spaces
holder-inequality
General Lebesgue Dominated Convergence Theorem
real-analysis
measure-theory
How do people apply the Lebesgue integration theory?
real-analysis
measure-theory
multivariable-calculus
soft-question
applications
Integration of forms and integration on a measure space
real-analysis
integration
measure-theory
multivariable-calculus
differential-geometry
Steinhaus theorem (sums version)
real-analysis
measure-theory
Lebesgue measurable set that is not a Borel measurable set
measure-theory
examples-counterexamples
Why does a Lipschitz function $f:\mathbb{R}^d\to\mathbb{R}^d$ map measure zero sets to measure zero sets?
real-analysis
measure-theory
lipschitz-functions
Lebesgue Measure of the Graph of a Function
real-analysis
measure-theory
Understanding Borel sets
probability
measure-theory
Integration by parts involving empirical/counting measure
integration
measure-theory
summation-by-parts
If $f$ is measurable and $fg$ is in $L^1$ for all $g \in L^q$, must $f \in L^p$?
integration
functional-analysis
measure-theory
riesz-representation-theorem
Is every Lebesgue measurable function on $\mathbb{R}$ the pointwise limit of continuous functions?
real-analysis
measure-theory
examples-counterexamples
Lebesgue measure theory vs differential forms?
functional-analysis
measure-theory
differential-geometry
partial-differential-equations
differential-forms
Show that $\lim _{r \to 0} \|T_rf−f\|_{L_p} =0.$
real-analysis
measure-theory
lebesgue-integral
lebesgue-measure
lp-spaces
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