Daniel Spector

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math.FA2014

A Leray-Trudinger Inequality

Georgios Psaradakis, Daniel Spector

We consider a multidimensional version of an inequality due to Leray as a substitute for Hardy's inequality in the case $p = n \geq 2.$ In this paper we provide an optimal Sobolev-type…

math.FA2014

$L^{p}$ -Taylor approximations characterize the Sobolev space $W^{1, p}$

Daniel E. Spector

In this note, we introduce a variant of Calderón and Zygmund's notion of $L^{p}$ -differentiability - an \emph{ $L^{p}$ -Taylor approximation}. Our first result is that functions in the S…

A Leray-Trudinger Inequality

Lp-Taylor approximations characterize the Sobolev space W1,p

$L^{p}$ -Taylor approximations characterize the Sobolev space $W^{1, p}$