An inequality about Holder norm
Let function $fin C^{1,alpha}(mathbb{R}^{n})$ , and $f(0)=0$. I want to know whether the following estimate is correct or not: There exists a constant $C$ such that
$$||frac{f(x)}{|x|}||_{C^{alpha}}leq C||nabla f||_{C^{alpha}}$$
Thanks!
real-analysis pde
asked Nov 21 '18 at 11:45
Kira Yamato
528513
add a comment |
Let function $fin C^{1,alpha}(mathbb{R}^{n})$ , and $f(0)=0$. I want to know whether the following estimate is correct or not: There exists a constant $C$ such that
$$||frac{f(x)}{|x|}||_{C^{alpha}}leq C||nabla f||_{C^{alpha}}$$
Thanks!
real-analysis pde
asked Nov 21 '18 at 11:45
Kira Yamato
528513
Can you define the norms in each of these spaces?
– zhw.
Nov 21 '18 at 18:54
add a comment |
Let function $fin C^{1,alpha}(mathbb{R}^{n})$ , and $f(0)=0$. I want to know whether the following estimate is correct or not: There exists a constant $C$ such that
$$||frac{f(x)}{|x|}||_{C^{alpha}}leq C||nabla f||_{C^{alpha}}$$
Thanks!
real-analysis pde
asked Nov 21 '18 at 11:45
Kira Yamato
528513
Let function $fin C^{1,alpha}(mathbb{R}^{n})$ , and $f(0)=0$. I want to know whether the following estimate is correct or not: There exists a constant $C$ such that
$$||frac{f(x)}{|x|}||_{C^{alpha}}leq C||nabla f||_{C^{alpha}}$$
Thanks!
real-analysis pde
real-analysis pde
asked Nov 21 '18 at 11:45
Kira Yamato
528513
asked Nov 21 '18 at 11:45
Kira Yamato
528513
asked Nov 21 '18 at 11:45
Kira Yamato
528513
asked Nov 21 '18 at 11:45
Kira Yamato
528513
asked Nov 21 '18 at 11:45
Kira Yamato
528513
528513
Can you define the norms in each of these spaces?
– zhw.
Nov 21 '18 at 18:54
add a comment |
Can you define the norms in each of these spaces?
– zhw.
Nov 21 '18 at 18:54
Can you define the norms in each of these spaces?
– zhw.
Nov 21 '18 at 18:54
Can you define the norms in each of these spaces?
– zhw.
Nov 21 '18 at 18:54
add a comment |
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Can you define the norms in each of these spaces?
– zhw.
Nov 21 '18 at 18:54