Question

Duality argument to extend operators that commute with translations

score 39 · Answer 1 · 2026-03-29 17:26:55

39

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Duality argument to extend operators that commute with translations

Published on 29 Mar 2026 - 17:26

score 51 · Answer 2 · 2023-11-03 01:14:25

51

Views

Reference request for the existence of Sobolev traces on Lipschitz domains

Published on 03 Nov 2023 - 1:14

score 21 · Answer 3 · 2023-11-03 04:44:25

21

Views

Irreducibility of tensor product of two irreducible representatios of the product group

Published on 03 Nov 2023 - 4:44

score 62 · Answer 4 · 2023-11-05 10:29:14

62

Views

What does it mean for an operator to be "bounded on $L^p$"?

Published on 05 Nov 2023 - 10:29

score 91 · Answer 5 · 2023-11-06 22:44:33

91

Views

If $f \in L^1(\Bbb T)$ is Lipschitz-continuous on $I \subset \Bbb T$ then $\widetilde f$ is $\alpha$-Hölder-continuous for all $\alpha < 1$ on $I$.

Published on 06 Nov 2023 - 22:44

score 22 · Answer 6 · 2026-03-25 16:03:29

22

Views

$(\Delta^{(\infty)})^{p+1} \leq N(p+1)\Delta^{(p)}$ i.e. Equivalence of $p$-discrepancies

Published on 25 Mar 2026 - 16:03

score 104 · Answer 7 · 2026-02-23 05:09:35

104

Views

Gronwall lemma with highly oscillatory kernel

Published on 23 Feb 2026 - 5:09

score 241 · Answer 8 · 2026-03-26 11:17:26

241

Views

Question regarding the proof of Littlewood-Paley theorem

Published on 26 Mar 2026 - 11:17

score 68 · Answer 9 · 2026-03-28 22:27:05

68

Views

Riesz potential cannot be extended to $L^1 \rightarrow L^{\frac{n}{n-s}}$ bounded operator

Published on 28 Mar 2026 - 22:27

score 76 · Answer 10 · 2026-04-02 11:16:48

76

Views

Bony decomposition $|\partial^{\alpha}u\partial^{\beta}v|_{L^{2}}\leq const\cdot\Big(|u|_{L^{\infty}}|v|_{H^{s}}+|v|_{L^{\infty}}|u|_{H^{s}}\Big)$

Published on 02 Apr 2026 - 11:16

score 35 · Answer 11 · 2026-03-25 22:04:16

35

Views

Confusion with the definition of homogeneous Sobolev spaces

Published on 25 Mar 2026 - 22:04

score 74 · Answer 12 · 2023-11-14 15:19:41

74

Views

Definition of $a_{0}$ - what is wrong with my calculations?

Published on 14 Nov 2023 - 15:19

score 56 · Answer 13 · 2026-03-25 11:03:27

56

Views

Is the Sobolev space $\dot{W}^{s,1}$ continuously embedded in the Besov space $\dot{B}^{s,1}_1$?

Published on 25 Mar 2026 - 11:03

score 33 · Answer 14 · 2026-03-25 16:03:31

33

Views

Confused by part of the proof of Stein's maximal principle

Published on 25 Mar 2026 - 16:03

score 121 · Answer 15 · 2026-04-02 21:00:31

121

Views

Inverse Fourier Transform on LCA Groups

Published on 02 Apr 2026 - 21:00

List Question

Duality argument to extend operators that commute with translations

Reference request for the existence of Sobolev traces on Lipschitz domains

Irreducibility of tensor product of two irreducible representatios of the product group

What does it mean for an operator to be "bounded on $L^p$"?

If $f \in L^1(\Bbb T)$ is Lipschitz-continuous on $I \subset \Bbb T$ then $\widetilde f$ is $\alpha$-Hölder-continuous for all $\alpha < 1$ on $I$.

$(\Delta^{(\infty)})^{p+1} \leq N(p+1)\Delta^{(p)}$ i.e. Equivalence of $p$-discrepancies

Gronwall lemma with highly oscillatory kernel

Question regarding the proof of Littlewood-Paley theorem

Riesz potential cannot be extended to $L^1 \rightarrow L^{\frac{n}{n-s}}$ bounded operator

Bony decomposition $|\partial^{\alpha}u\partial^{\beta}v|_{L^{2}}\leq const\cdot\Big(|u|_{L^{\infty}}|v|_{H^{s}}+|v|_{L^{\infty}}|u|_{H^{s}}\Big)$

Confusion with the definition of homogeneous Sobolev spaces

Definition of $a_{0}$ - what is wrong with my calculations?

Is the Sobolev space $\dot{W}^{s,1}$ continuously embedded in the Besov space $\dot{B}^{s,1}_1$?

Confused by part of the proof of Stein's maximal principle

Inverse Fourier Transform on LCA Groups

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