99 citations · 527 across the 36 of their papers we have counts for
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Density results for Sobolev, Besov and Triebel--Lizorkin spaces on rough sets
António Caetano, David P. Hewett, Andrea Moiola
We investigate two density questions for Sobolev, Besov and Triebel--Lizorkin spaces on rough sets. Our main results, stated in the simplest Sobolev space setting, are that: (i) fo…
A note on properties of the restriction operator on Sobolev spaces
David P. Hewett, Andrea Moiola
In our companion paper (S.N. Chandler Wilde, D.P. Hewett, A. Moiola, Sobolev spaces on non-Lipschitz subsets of with application to boundary integral equations on fr…
Sobolev spaces on non-Lipschitz subsets of with application to boundary integral equations on fractal screens
Simon N. Chandler-Wilde, David P. Hewett, Andrea Moiola
We study properties of the classical fractional Sobolev spaces (or Bessel potential spaces) on non-Lipschitz subsets of . We investigate the extent to which the prope…
On the maximal Sobolev regularity of distributions supported by subsets of Euclidean space
D. P. Hewett, A. Moiola
This paper concerns the following question: given a subset of with empty interior and an integrability parameter , what is the maximal regularity $s\…
Interpolation of Hilbert and Sobolev Spaces: Quantitative Estimates and Counterexamples
Simon N. Chandler-Wilde, David P. Hewett, Andrea Moiola
This paper provides an overview of interpolation of Banach and Hilbert spaces, with a focus on establishing when equivalence of norms is in fact equality of norms in the key result…