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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, 11 months
  • Last seen this week
13 votes
2 answers
900 views

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

12 votes
1 answer
2k views

Growth of Tychonov's Counterexample for Heat Equation Uniqueness

10 votes
0 answers
164 views

Trace on $\mathcal{S}(\mathbb{R}^k) \mathbin{\hat{\otimes}_\pi} \mathcal{S}'(\mathbb{R}^k)$

8 votes
1 answer
842 views

Error in Stein Shakarchi Exercise on $H^{1}(\mathbb{R})$ and $L\log L$

8 votes
2 answers
424 views

Lebesgue Measure of Image of Unit Square under Continuous Map

8 votes
1 answer
326 views

Sufficient Condition for $f\in L^{1}(\mathbb{R}^{d})$ to belong to $L^{2}(\mathbb{R}^{d})$ in terms of its Fourier coefficients

7 votes
1 answer
283 views

Sets of Divergence for Fourier Partial Integals

7 votes
0 answers
259 views

Lebesgue Differentiation Type Result

7 votes
1 answer
2k views

Lyapunov's Inequality for Weak-Lp Spaces

7 votes
2 answers
728 views

Criterion for Membership in Hardy Space $H^{1}(\mathbb{R}^{n})$

6 votes
2 answers
265 views

Dense Subspace of $L_{0}^{1}(\mathbb{R}^{n})$

6 votes
1 answer
1k views

Critical Homogeneous Sobolev Embedding

5 votes
0 answers
318 views

Continuous Littlewood-Paley Inequality

5 votes
2 answers
2k views

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

5 votes
2 answers
417 views

Unique Entire Function with Prescribed Values

5 votes
1 answer
312 views

(Exponential) Growth of Operator Norm of Uncentered Maximal Function

5 votes
1 answer
725 views

Calderon-Zygmund Operator Associated to Zero Kernel

5 votes
1 answer
282 views

Example of a compactly supported Lipschitz function with non-Lipschitz Hilbert transform

5 votes
1 answer
321 views

Measures which cannot be uniquely written as the sum of a purely atomic measure and a nonatomic measure

5 votes
1 answer
834 views

$L^{p}$ Boundedness of Fourier Multiplier without Littlewood-Paley

5 votes
1 answer
1k views

Existence of Certain Locally Integrable Function Defining a Tempered Distribution

5 votes
2 answers
1k views

Replicating Kolmogorov's Counterexample for Fourier Series in Context of Fourier Transforms

4 votes
0 answers
190 views

Functions Satisfying $u,\Delta u\in L^{1}(\mathbb{R}^{n})$

4 votes
2 answers
129 views

Equivalent Norms for Intermediate Subspaces

4 votes
0 answers
484 views

Behavior of a Solution to Heat equation Compactly Supported in Time

4 votes
2 answers
2k views

Baby Rudin Chapter 3 Exercise 11(d)

4 votes
2 answers
817 views

Sublinearity of Hardy-Littlewood Maximal Function on Sobolev Spaces

4 votes
0 answers
143 views

Asymptotics of Null Solution to Heat Equation

4 votes
0 answers
494 views

Fractional Sobolev Space Trace Inequality

4 votes
2 answers
1k views

Pointwise A.E. Convergence of Convolution