Re: Why are Sobolev spaces labelled W^{s,p}?

As far as I know, Sobolev's notation is W_p^s. I do not know why in american
literature "p" was moved to the upper index. Also, I do not know why did
Sobolev use "W".

-Pavel Dubovski


"Arnold Neumaier" <Arnold.Neumaier@xxxxxxxxxxxx> wrote in message
news:dvblav$g0i$1@xxxxxxxxxxxxxxxxxxxxxxxxxxxx

Does anyone know the significance of the letter W
in the natation W^{s,p} for Sobolev spaces of functions whose
weak derivatives up to s-th order are in L^p?


Arnold Neumaier


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