Ask a Question

Prefer a chat interface with context about you and your work?

<i>BMO</i>-type seminorms and Sobolev functions

<i>BMO</i>-type seminorms and Sobolev functions

Following some ideas of a recent paper by Bourgain, Brezis and Mironescu, we give a representation formula of the norm of the gradient of a Sobolev function which does not make use of the distributional derivatives.