Estimates for functions in Sobolev spaces defined on unbounded domains (Q1040864)

The authors widen the scope of the extension to Beppo-Levi (or Sobolev) spaces of non-integer order, the obtention of bounds for derivatives and the enlargement of the class of domains \(W\) in \(\mathbb R^n\) for which the theory holds. They prove several Sobolev-type bounds involving the values of a function \(f\) belonging to a suitable Beppo-Levi (or Sobolev) space on an infinite discrete subset \(A\) of \(W\).