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Lp-spaces
New post in Lp-spaces
Minkowski inequality for $l_p$ norm.
July 20th, 2020
lp-spaces
functional-analysis
inequality
Square integrable function with bounded derivative goes to zero pointwise?
August 1st, 2022
ordinary-differential-equations
lp-spaces
real-analysis
Sequence of piecewise constant functions converging to any $L^2$ function
May 4th, 2020
analysis
lp-spaces
approximation
Are continuous functions dense in $L^1$?
August 1st, 2022
continuity
lp-spaces
measure-theory
Dual space of $L^\infty$ is $L^1$ with the weak-* topology?
February 18th, 2021
lp-spaces
banach-spaces
Continuous functions vanishing at infinity is always integrable?
August 1st, 2022
calculus
lp-spaces
real-analysis
integration
limits
Continuous function and Lp norm
December 17th, 2020
lp-spaces
functional-analysis
when composition of continuous and Lebesgue integrable function Lebesgue integrable
August 1st, 2022
lebesgue-integral
lp-spaces
measure-theory
prove the inequalities: $|x|_q \leq |x|_p \leq N^{^1/p-^1/q}\cdot |x|_q, x \in \mathbb{R}^{N}$ and $||x||_{l^q} \leq ||x||_{l^p}$ for $x\in l^p$
May 21st, 2020
inequality
real-analysis
lp-spaces
normed-spaces
Closed set in $l^1$ space
July 8th, 2020
analysis
lp-spaces
general-topology
compactness
Bound on uniform norm of convolution of $L^p$ functions
August 1st, 2022
lp-spaces
real-analysis
convolution
negative Sobolev space contains $L^1$ for a compact domain
June 28th, 2020
lp-spaces
weak-derivatives
partial-differential-equations
sobolev-spaces
analysis
Show that $L^{\infty}$ space does not have a countable dense set.
June 7th, 2020
functional-analysis
lp-spaces
Norm of pointwise product of Lp functions
January 15th, 2020
normed-spaces
inequality
lp-spaces
Intuitive explanation of p-norm in finite and infinite dimensinos
April 9th, 2020
vector-spaces
geometry
hilbert-spaces
normed-spaces
lp-spaces
Minkowski's Integral Inequality
August 1st, 2022
measure-theory
lebesgue-integral
lp-spaces
functional-analysis
Proof of existence of Schauder basis for $L^p(\Omega)$?
July 12th, 2020
banach-spaces
functional-analysis
reference-request
lp-spaces
Embedding of Lp spaces
October 24th, 2020
lp-spaces
functional-analysis
Dual space of $l^1$
February 18th, 2020
functional-analysis
dual-spaces
lp-spaces
Hölder's inequality, equality condition
April 5th, 2020
real-analysis
lp-spaces
Estimate $L^{2p}$ norm of the gradient by the supremum of the function and $L^p$ norm of the Hessian
July 12th, 2020
lp-spaces
estimation
sobolev-spaces
Prove convolution $f\ast g\in L^\infty(\mathbb{R})$
August 1st, 2022
real-analysis
measure-theory
lp-spaces
normed-spaces
Does weak convergence in $W^{1,p}$ imply strong convergence in $L^q$?
May 19th, 2020
lp-spaces
sobolev-spaces
normed-spaces
weak-convergence
Proving that the sequence space $l^1$ is complete
August 1st, 2022
sequences-and-series
functional-analysis
banach-spaces
lp-spaces
complete-spaces
Does $\{\sin (nx)\}_1^\infty$ converge in the $L^1$ norm on $[0,2\pi]$?
August 1st, 2022
lp-spaces
real-analysis
convergence-divergence
normed-spaces
Find a sequence in $l^p$ but not in $l^q$, where $q < p$
January 14th, 2020
lp-spaces
real-analysis
Finately supported sequences are dense in $l^p$
June 25th, 2020
functional-analysis
normed-spaces
lp-spaces
vector-spaces
Is a $L^p$ function almost surely bounded a.e.?
August 1st, 2022
lp-spaces
measure-theory
analysis
lebesgue-integral
Sequence in $l^p$ but not $l^q$ for all $q<p$
January 18th, 2020
functional-analysis
examples-counterexamples
lp-spaces
Showing an Operator is Well-Defined and Bounded
August 1st, 2022
lp-spaces
functional-analysis
real-analysis
orthonormal
operator-theory
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