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edit approved Nov 27, 2015 at 0:55
Silvia Ghinassi
edit approved Nov 27, 2015 at 0:55
Silvia Ghinassi
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traces Traces of fractional Sobolev spaces W^$W^{s,p}$ with 0<s<1$0<s<1/pp$

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Liviu Nicolaescu
Liviu Nicolaescu
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I've stumbled upon a problem involving the trace of a function in a fractional Sobolev space of the form W^{s,2}(H)$W^{s,2}(H)$, where H$H$ is a half-plane in R^2$\mathbb{R}^2$. Would it be possible to define a notion of trace, in the case in which 0<s<1/2$0<s<\frac{1}{2}$ ? If yes, is there a characterization of the space of such traces? Are the traces locally integrable? Are you aware of any reference where such information could be found?

I've stumbled upon a problem involving the trace of a function in a fractional Sobolev space of the form W^{s,2}(H), where H is a half-plane in R^2. Would it be possible to define a notion of trace, in the case in which 0<s<1/2? If yes, is there a characterization of the space of such traces? Are the traces locally integrable? Are you aware of any reference where such information could be found?

I've stumbled upon a problem involving the trace of a function in a fractional Sobolev space of the form $W^{s,2}(H)$, where $H$ is a half-plane in $\mathbb{R}^2$. Would it be possible to define a notion of trace, in the case in which $0<s<\frac{1}{2}$ ? If yes, is there a characterization of the space of such traces? Are the traces locally integrable? Are you aware of any reference where such information could be found?

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B.R. Smith
B.R. Smith
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traces of fractional Sobolev spaces W^{s,p} with 0<s<1/p

I've stumbled upon a problem involving the trace of a function in a fractional Sobolev space of the form W^{s,2}(H), where H is a half-plane in R^2. Would it be possible to define a notion of trace, in the case in which 0<s<1/2? If yes, is there a characterization of the space of such traces? Are the traces locally integrable? Are you aware of any reference where such information could be found?