128 citations · 387 across the 40 of their papers we have counts for
3 papers · 1 filter
Explicit characterisation of the fractional power spaces of the Dirichlet Laplacian and Stokes operators
Karol W. Hajduk, James C. Robinson
We identify explicitly the fractional power spaces for the Dirichlet Laplacian and Dirichlet Stokes operators using the theory of real interpolation. The results are not new,…
Simultaneous approximation in Lebesgue and Sobolev norms via eigenspaces
Charles L. Fefferman, Karol W. Hajduk, James C. Robinson
We approximate functions defined on smooth bounded domains by elements of the eigenspaces of the Laplacian or the Stokes operator in such a way that the approximations are bounded…
Embedding Properties of sets with finite box-counting dimension
Alexandros Margaris, James C. Robinson
In this paper we study the regularity of embeddings of finite--dimensional subsets of Banach spaces into Euclidean spaces. In 1999, Hunt and Kaloshin [Nonlinearity 12 1263-1275] in…