The spaces $L^p$ with $0<p<1$
up vote
0
down vote
favorite
Assume that there exists a constant $ M> 0$ such that $/hat{u}/ >M$ .
Is the following inequality true?
$left | hat{u}right |_{L^{p}} $ $leq $ $left | hat{u}right |_{L^{2}} $
with $ 0<p<1$ .
Thanks.
functional-analysis analysis sobolev-spaces
edited Nov 18 at 15:13
Hans Engler
9,98411836
asked Nov 18 at 14:56
Ilyes
12
add a comment |
up vote
0
down vote
favorite
Assume that there exists a constant $ M> 0$ such that $/hat{u}/ >M$ .
Is the following inequality true?
$left | hat{u}right |_{L^{p}} $ $leq $ $left | hat{u}right |_{L^{2}} $
with $ 0<p<1$ .
Thanks.
functional-analysis analysis sobolev-spaces
edited Nov 18 at 15:13
Hans Engler
9,98411836
asked Nov 18 at 14:56
Ilyes
12
the title says $1 < p < 1$
– mathworker21
Nov 18 at 14:58
Hello and welcome to math.stackexchange. Please give more details: $L^p$ over what set? Is $hat u$ the Fourier transform? What have you done so far? Where does this problem come from?
– Hans Engler
Nov 18 at 15:16
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Assume that there exists a constant $ M> 0$ such that $/hat{u}/ >M$ .
Is the following inequality true?
$left | hat{u}right |_{L^{p}} $ $leq $ $left | hat{u}right |_{L^{2}} $
with $ 0<p<1$ .
Thanks.
functional-analysis analysis sobolev-spaces
edited Nov 18 at 15:13
Hans Engler
9,98411836
asked Nov 18 at 14:56
Ilyes
12
Assume that there exists a constant $ M> 0$ such that $/hat{u}/ >M$ .
Is the following inequality true?
$left | hat{u}right |_{L^{p}} $ $leq $ $left | hat{u}right |_{L^{2}} $
with $ 0<p<1$ .
Thanks.
functional-analysis analysis sobolev-spaces
functional-analysis analysis sobolev-spaces
edited Nov 18 at 15:13
Hans Engler
9,98411836
asked Nov 18 at 14:56
Ilyes
12
edited Nov 18 at 15:13
Hans Engler
9,98411836
asked Nov 18 at 14:56
Ilyes
12
edited Nov 18 at 15:13
Hans Engler
9,98411836
edited Nov 18 at 15:13
Hans Engler
9,98411836
edited Nov 18 at 15:13
Hans Engler
9,98411836
9,98411836
asked Nov 18 at 14:56
Ilyes
12
asked Nov 18 at 14:56
Ilyes
12
asked Nov 18 at 14:56
Ilyes
12
12
the title says $1 < p < 1$
– mathworker21
Nov 18 at 14:58
Hello and welcome to math.stackexchange. Please give more details: $L^p$ over what set? Is $hat u$ the Fourier transform? What have you done so far? Where does this problem come from?
– Hans Engler
Nov 18 at 15:16
add a comment |
the title says $1 < p < 1$
– mathworker21
Nov 18 at 14:58
Hello and welcome to math.stackexchange. Please give more details: $L^p$ over what set? Is $hat u$ the Fourier transform? What have you done so far? Where does this problem come from?
– Hans Engler
Nov 18 at 15:16
the title says $1 < p < 1$
– mathworker21
Nov 18 at 14:58
the title says $1 < p < 1$
– mathworker21
Nov 18 at 14:58
Hello and welcome to math.stackexchange. Please give more details: $L^p$ over what set? Is $hat u$ the Fourier transform? What have you done so far? Where does this problem come from?
– Hans Engler
Nov 18 at 15:16
Hello and welcome to math.stackexchange. Please give more details: $L^p$ over what set? Is $hat u$ the Fourier transform? What have you done so far? Where does this problem come from?
– Hans Engler
Nov 18 at 15:16
add a comment |
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3003630%2fthe-spaces-lp-with-0p1%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
the title says $1 < p < 1$
– mathworker21
Nov 18 at 14:58
Hello and welcome to math.stackexchange. Please give more details: $L^p$ over what set? Is $hat u$ the Fourier transform? What have you done so far? Where does this problem come from?
– Hans Engler
Nov 18 at 15:16