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Matt Rosenzweig's user avatar
Matt Rosenzweig's user avatar
Matt Rosenzweig's user avatar
Matt Rosenzweig
  • Member for 12 years, 10 months
  • Last seen this week
9 votes
Accepted

Relation between Besov and Sobolev spaces (Littlewood-Paley-theory)

7 votes
Accepted

Entire functions with finite $L^1$ norm must be identically $0$

7 votes
Accepted

Homogeneous Sobolev space is a Hilbert space

7 votes
Accepted

On the Hilbert Transform of a Bounded Function

6 votes
Accepted

Find the natural boundary of $\sum_{n=1}^\infty \frac{z^n}{1-z^n}$

6 votes

Calderón-Zygmund $\times$ Schwartz $=$ Calderón-Zygmund

6 votes

Important applications of the Uniform Boundedness Principle

5 votes

Proof of the classical div-curl-lemma

5 votes
Accepted

Double integral definition of periodic Sobolev spaces

5 votes
Accepted

$W^{s,p}(\mathbb{R}^{n})$ Is Not Closed Under Multiplication when $s\leq n/p$

4 votes
Accepted

Question about the measure induced from another measure, problem 1.22 from Folland

4 votes
Accepted

Show that $p_n(a)\neq 0$ if $|a|=n$

4 votes

Bounded linear map on topological vector spaces is continuous

4 votes

Solving Eikonal Equation $u_x^2+u_y^2=u^2$

3 votes

How to compare the Hardy-Littlewood maximal function for balls and cubes?

3 votes
Accepted

Maximal Function Estimate

3 votes
Accepted

Why is the infimum in the Hopf-Lax formula a minimum?

3 votes

Fourier transform with $\sin(t^2)$

3 votes

Convolution of tempered distributions where one has compact support.

3 votes

Assumptions on the Borel measure in Stein's Harmonic Analysis

3 votes

Pointwise A.E. Convergence of Convolution

3 votes
Accepted

$L^{1}$ Boundedness of Hilbert Transform on $\left\{f\in L^{1}(\mathbb{R}) : \int_{\mathbb{R}}f=0\right\}$

3 votes
Accepted

Are singular integral operators bounded on $L\log L$?

3 votes
Accepted

Derive Hausdorff-Young inequality from Paley's inequality

2 votes
Accepted

A question involving sharpening the bound on Sobolev type inequality with Sobolev spaces in terms of distributions of Schwartz functions

2 votes
Accepted

Some intuition on a specific problem on Sobolev's embedding theorem with its relation to Fourier transform of restricted functions

2 votes
Accepted

A question from Harmonic Analysis - real variable methods, orthogonality book by Elias Stein.

2 votes
Accepted

A question from Stein's Harmonic Analysis - real variable methods' book.

2 votes

What condition on $f$ makes the formula $(−\Delta)^sf(x)=c_{n,s}\int_{\mathbb{R}^n}\frac{f(x)−f(y)}{|x−y|^{n+2s}}dy$ true?

2 votes

$W^{s,p}(\mathbb{R}^{n})$ Is Not Closed Under Multiplication when $s\leq n/p$