Question

Counterexample to $L^1$-boundedness of the maximal operator $f \mapsto f^\#$ with $f^{\sharp}(x):=\sup_{Q\ni x}\frac{1}{|Q|}\int_{Q}|f-(f)_{Q}|dy$

score 514 · Answer 1 · 2026-02-26 20:47:45

514

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Counterexample to $L^1$-boundedness of the maximal operator $f \mapsto f^\#$ with $f^{\sharp}(x):=\sup_{Q\ni x}\frac{1}{|Q|}\int_{Q}|f-(f)_{Q}|dy$

Published on 26 Feb 2026 - 20:47

score 302 · Answer 2 · 2015-10-12 23:19:46

302

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(Exponential) Growth of Operator Norm of Uncentered Maximal Function

Published on 12 Oct 2015 - 23:19

score 830 · Answer 3 · 2026-03-29 02:13:22

830

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BMO space and log-lipschitz regularity

Published on 29 Mar 2026 - 2:13

score 92 · Answer 4 · 2026-03-31 03:33:44

92

Views

Some properties of the homogeneous spaces on $\mathbb{T}$

Published on 31 Mar 2026 - 3:33

score 54 · Answer 5 · 2015-10-16 15:42:44

54

Views

A question on maximal operator in Stein's real variable methods, orthogonality and oscillatory integrals.

Published on 16 Oct 2015 - 15:42

score 86 · Answer 6 · 2015-10-18 18:06:27

86

Views

Haar measure on $\mathbb{C} \setminus 0$.

Published on 18 Oct 2015 - 18:06

score 68 · Answer 7 · 2026-04-02 17:10:36

68

Views

*-representations, unitary representations, and adjunctions

Published on 02 Apr 2026 - 17:10

score 33 · Answer 8 · 2015-10-19 18:33:50

33

Views

Fourier Transform of Distribution Equal to the Distribution Itself

Published on 19 Oct 2015 - 18:33

score 2.5k · Answer 9 · 2026-03-26 12:50:12

2.5k

Views

Reference for Harmonic Analysis?

Published on 26 Mar 2026 - 12:50

score 59 · Answer 10 · 2026-03-31 22:07:08

59

Views

The distribution solution to $L^{+} u=0$ is u=0, where $L^{+}=-\frac{d}{dx}+x$?

Published on 31 Mar 2026 - 22:07

score 87 · Answer 11 · 2015-10-22 20:37:10

87

Views

Expected value formula holds for family of functions.

Published on 22 Oct 2015 - 20:37

score 17 · Answer 12 · 2015-10-23 02:16:40

17

Views

Solving for values of a Fourier transform

Published on 23 Oct 2015 - 2:16

score 694 · Answer 13 · 2015-10-24 23:07:46

694

Views

Calderon-Zygmund Operator Associated to Zero Kernel

Published on 24 Oct 2015 - 23:07

score 113 · Answer 14 · 2015-10-25 14:23:18

113

Views

How can large u(1/2)?

Published on 25 Oct 2015 - 14:23

score 275 · Answer 15 · 2026-03-25 23:14:36

275

Views

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

Published on 25 Mar 2026 - 23:14

List Question

Counterexample to $L^1$-boundedness of the maximal operator $f \mapsto f^\#$ with $f^{\sharp}(x):=\sup_{Q\ni x}\frac{1}{|Q|}\int_{Q}|f-(f)_{Q}|dy$

(Exponential) Growth of Operator Norm of Uncentered Maximal Function

BMO space and log-lipschitz regularity

Some properties of the homogeneous spaces on $\mathbb{T}$

A question on maximal operator in Stein's real variable methods, orthogonality and oscillatory integrals.

Haar measure on $\mathbb{C} \setminus 0$.

*-representations, unitary representations, and adjunctions

Fourier Transform of Distribution Equal to the Distribution Itself

Reference for Harmonic Analysis?

The distribution solution to $L^{+} u=0$ is u=0, where $L^{+}=-\frac{d}{dx}+x$?

Expected value formula holds for family of functions.

Solving for values of a Fourier transform

Calderon-Zygmund Operator Associated to Zero Kernel

How can large u(1/2)?

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

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