Question

Is there an "easy" proof of the existence of radial limits of functions in the hardy spaces $H^p$?

score 73 · Answer 1 · 2026-03-25 16:20:51

73

Views

Is there an "easy" proof of the existence of radial limits of functions in the hardy spaces $H^p$?

Published on 25 Mar 2026 - 16:20

score 114 · Answer 2 · 2026-03-27 18:35:43

114

Views

weakened $L^p$ interpolation using the Fourier transform?

Published on 27 Mar 2026 - 18:35

score 104 · Answer 3 · 2023-12-21 02:05:10

104

Views

Other examples of Muckenhoupt weights besides $|x|^{\alpha}$

Published on 21 Dec 2023 - 2:05

score 24 · Answer 4 · 2026-03-25 07:44:43

24

Views

Smoothness of the remainder in the Littlewood-Paley theory

Published on 25 Mar 2026 - 7:44

score 70 · Answer 5 · 2026-03-28 07:43:01

70

Views

Exercise 6 from "Measure Theory and Integration" Micheal E.Taylor, a maximal inequality.

Published on 28 Mar 2026 - 7:43

score 144 · Answer 6 · 2023-12-27 14:25:44

144

Views

Inequality involving Fourier transform

Published on 27 Dec 2023 - 14:25

score 46 · Answer 7 · 2026-03-20 23:43:21

46

Views

The fact that the space of matrix coefficients is a 2-side ideal in $C(G)$ implies Schur orthogonality.

Published on 20 Mar 2026 - 23:43

score 109 · Answer 8 · 2026-03-25 16:13:55

109

Views

Why is this assumption necessary on the proof of duality of $H^1$ and BMO? (Stein)

Published on 25 Mar 2026 - 16:13

score 108 · Answer 9 · 2026-03-25 16:20:40

108

Views

Fejer-Riesz Theorem for polynomials

Published on 25 Mar 2026 - 16:20

score 49 · Answer 10 · 2026-03-30 18:18:41

49

Views

Finding all harmonic functions on $n$-torus

Published on 30 Mar 2026 - 18:18

score 43 · Answer 11 · 2026-03-28 02:21:29

43

Views

Fejer-Riesz Theorem for analytic polynomials

Published on 28 Mar 2026 - 2:21

score 61 · Answer 12 · 2024-01-03 05:25:54

61

Views

Fejer-Riesz Theorem and applications

Published on 03 Jan 2024 - 5:25

score 99 · Answer 13 · 2026-03-25 18:59:07

99

Views

Is there a constant $c>0$ such that $\|(1-\Delta)^{\frac{\alpha}{2}} f\|_\infty\le c\|f\|_{C^{0,\alpha}}$ for all $f \in C^{0,\alpha} (\mathbb{R}^d)$?

Published on 25 Mar 2026 - 18:59

score 64 · Answer 14 · 2026-03-25 04:44:02

64

Views

Regularizing effects present in the group $\{e^{it\Delta}\}$.

Published on 25 Mar 2026 - 4:44

score 48 · Answer 15 · 2026-03-25 09:29:59

48

Views

Is there a constant $c>0$ such that $\| (1-\Delta)^{-\alpha} P^\kappa_t f\|_{C^{n,\beta}_b}\le c t^{-(\frac{n}{2} - \alpha)^+} \| f \|_{C^{\beta}_b}$?

Published on 25 Mar 2026 - 9:29

List Question

Is there an "easy" proof of the existence of radial limits of functions in the hardy spaces $H^p$?

weakened $L^p$ interpolation using the Fourier transform?

Other examples of Muckenhoupt weights besides $|x|^{\alpha}$

Smoothness of the remainder in the Littlewood-Paley theory

Exercise 6 from "Measure Theory and Integration" Micheal E.Taylor, a maximal inequality.

Inequality involving Fourier transform

The fact that the space of matrix coefficients is a 2-side ideal in $C(G)$ implies Schur orthogonality.

Why is this assumption necessary on the proof of duality of $H^1$ and BMO? (Stein)

Fejer-Riesz Theorem for polynomials

Finding all harmonic functions on $n$-torus

Fejer-Riesz Theorem for analytic polynomials

Fejer-Riesz Theorem and applications

Is there a constant $c>0$ such that $\|(1-\Delta)^{\frac{\alpha}{2}} f\|_\infty\le c\|f\|_{C^{0,\alpha}}$ for all $f \in C^{0,\alpha} (\mathbb{R}^d)$?

Regularizing effects present in the group $\{e^{it\Delta}\}$.

Is there a constant $c>0$ such that $\| (1-\Delta)^{-\alpha} P^\kappa_t f\|_{C^{n,\beta}_b}\le c t^{-(\frac{n}{2} - \alpha)^+} \| f \|_{C^{\beta}_b}$?

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