User Medo

8 votes

2 answers

670 views

Asymptotic behavior of a certain oscillatory integral

asked Jul 5, 2023 at 18:24

7 votes

2 answers

407 views

$L^p-L^q$ boundedness of this simple singular oscillatory integral operator

asked Jan 13, 2023 at 19:16

5 votes

1 answer

311 views

Maximal operator estimates for the Schrödinger equation

asked Jul 18, 2023 at 15:14

5 votes

3 answers

313 views

The integrability of $\widehat{e^{-|x|^a}}$, $a>0$

asked Oct 2, 2023 at 9:06

5 votes

0 answers

243 views

Is there a way to solve this integral on the sphere explicitly?

asked Dec 7, 2023 at 21:24

5 votes

1 answer

246 views

An asymmetric quadrilinear estimate

asked Mar 15 at 22:57

5 votes

0 answers

204 views

A proof for an $L^p$-$L^p$ inequality

asked Nov 16 at 14:28

4 votes

1 answer

222 views

estimate a singular integral using a dyadic decomposition

asked May 11 at 21:16

4 votes

2 answers

315 views

Is this an $L^p-L^{\infty}$ operator?

asked Oct 4, 2022 at 19:19

3 votes

1 answer

139 views

What is the optimal asymptotic behavior of this integral over the sphere?

asked Nov 19, 2022 at 20:25

3 votes

1 answer

251 views

Asymptotic behavior of a double oscillatory integral

asked Jul 29, 2022 at 20:18

3 votes

1 answer

150 views

A question on a simple integral with a singular kernel?

asked Feb 27, 2021 at 10:54

3 votes

1 answer

256 views

A sharp estimate for an oscillatory integral with a simple phase

asked Jun 20, 2022 at 21:33

3 votes

1 answer

370 views

Is Brascamp-Lieb inequality on the sphere applicable for these functions for some $1\leq p<2$

asked Mar 4, 2023 at 0:01

2 votes

0 answers

58 views

Is there a fractional derivative that preserves the composition of the one-parameter Mittag-Leffler function with $x\mapsto x^{\alpha}$?

asked Jul 22, 2023 at 17:07

2 votes

1 answer

218 views

If an estimate is false on $L^{1}$, then it is false for the $\delta$ distribution?

asked Jul 19, 2020 at 4:16

2 votes

1 answer

371 views

Examples of ODEs with complex constant coefficients and applications to physics?

asked Aug 30, 2022 at 13:05

2 votes

1 answer

158 views

Are the coefficients in the stationary phase approximation computed explicitly somewhere

asked Mar 18 at 22:47

2 votes

1 answer

106 views

Is $f^{-a}$ locally integrable if $f\geq 0$ has a unique stationary point ( a minimum) at which the Hessian is positive definite, $0<a<d/2$

asked Apr 26, 2023 at 19:14

2 votes

1 answer

152 views

The asymptotic behavior of $F(\lambda):=\sum_{k=0}^{\infty}\frac{\Gamma{(a k)}}{\Gamma{(b k)}}{\lambda}^{-k}$, $b>a>0$

asked Apr 30, 2023 at 2:39

1 vote

1 answer

112 views

A bilinear estimate with a simple one-dimensional oscillatory integral kernel

asked Apr 6 at 12:05

1 vote

1 answer

89 views

Determine $\alpha \in (0,1)$ such that $J_{\alpha}(\phi):=\int \psi/\phi^{\alpha}$ exists?

asked Jun 25, 2022 at 16:02

1 vote

1 answer

148 views

Why does failure of boundedness of this operator for $p<q$ implies its failure for $p>q^{\prime}$?

asked Jan 27, 2023 at 16:28

1 vote

0 answers

116 views

A convergence problem in the space of tempered distributions

asked Jan 28, 2023 at 21:35

0 votes

1 answer

150 views

The asymptotic behaviour of a singular integral

asked Mar 16, 2023 at 11:29

0 votes

1 answer

624 views

Does this dyadic sum converge?

asked Sep 29, 2023 at 16:10

0 votes

1 answer

119 views

A simple bilinear estimate

asked Mar 21 at 2:55

0 votes

0 answers

94 views

The asymptotic behaviour of the Fourier transform of a certain class of radially symmetric functions

asked Jan 11 at 19:19

-2 votes

2 answers

321 views

$f\in (W^{1,p}(\Omega)\cap C(\Omega) \cap L^{\infty}(\Omega))\setminus C(\bar{\Omega})$, $f=0$ on $\partial \Omega$ imply $f\in W^{1,p}_{0}(\Omega)$?

asked Jan 13, 2018 at 11:15

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29 Questions

Asymptotic behavior of a certain oscillatory integral

$L^p-L^q$ boundedness of this simple singular oscillatory integral operator

Maximal operator estimates for the Schrödinger equation

The integrability of $\widehat{e^{-|x|^a}}$, $a>0$

Is there a way to solve this integral on the sphere explicitly?

An asymmetric quadrilinear estimate

A proof for an $L^p$-$L^p$ inequality

estimate a singular integral using a dyadic decomposition

Is this an $L^p-L^{\infty}$ operator?

What is the optimal asymptotic behavior of this integral over the sphere?

Asymptotic behavior of a double oscillatory integral

A question on a simple integral with a singular kernel?

A sharp estimate for an oscillatory integral with a simple phase

Is Brascamp-Lieb inequality on the sphere applicable for these functions for some $1\leq p<2$

Is there a fractional derivative that preserves the composition of the one-parameter Mittag-Leffler function with $x\mapsto x^{\alpha}$?

If an estimate is false on $L^{1}$, then it is false for the $\delta$ distribution?

Examples of ODEs with complex constant coefficients and applications to physics?

Are the coefficients in the stationary phase approximation computed explicitly somewhere

Is $f^{-a}$ locally integrable if $f\geq 0$ has a unique stationary point ( a minimum) at which the Hessian is positive definite, $0<a<d/2$

The asymptotic behavior of $F(\lambda):=\sum_{k=0}^{\infty}\frac{\Gamma{(a k)}}{\Gamma{(b k)}}{\lambda}^{-k}$, $b>a>0$

A bilinear estimate with a simple one-dimensional oscillatory integral kernel

Determine $\alpha \in (0,1)$ such that $J_{\alpha}(\phi):=\int \psi/\phi^{\alpha}$ exists?

Why does failure of boundedness of this operator for $p<q$ implies its failure for $p>q^{\prime}$?

A convergence problem in the space of tempered distributions

The asymptotic behaviour of a singular integral

Does this dyadic sum converge?

A simple bilinear estimate

The asymptotic behaviour of the Fourier transform of a certain class of radially symmetric functions

$f\in (W^{1,p}(\Omega)\cap C(\Omega) \cap L^{\infty}(\Omega))\setminus C(\bar{\Omega})$, $f=0$ on $\partial \Omega$ imply $f\in W^{1,p}_{0}(\Omega)$?