The spaces $L^p$ with $0<p<1$
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
10.1k11836
asked Nov 18 at 14:56
Ilyes
12
add a comment |
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
10.1k11836
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 |
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
10.1k11836
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
10.1k11836
asked Nov 18 at 14:56
Ilyes
12
edited Nov 18 at 15:13
Hans Engler
10.1k11836
asked Nov 18 at 14:56
Ilyes
12
edited Nov 18 at 15:13
Hans Engler
10.1k11836
edited Nov 18 at 15:13
Hans Engler
10.1k11836
edited Nov 18 at 15:13
Hans Engler
10.1k11836
10.1k11836
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 |
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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