46 citations · 195 across the 27 of their papers we have counts for
6 papers · 1 filter
Characterisations of Sobolev spaces and constant functions over metric spaces
Tuomas Hytönen, Riikka Korte
In a doubling metric measure space supporting a Poincaré inequality, we give a new characterisation of first-order Sobolev spaces by mean oscillations, and extend previou…
Preserving Besov (fractional Sobolev) energies under sphericalization and flattening
Anders Björn, Jana Björn, Riikka Korte +2
We introduce a new sphericalization mapping for metric spaces that is applicable in very general situations, including totally disconnected fractal type sets. For an unbounded comp…
The John-Nirenberg space: Equality of the vanishing subspaces and
Riikka Korte, Timo Takala
The John-Nirenberg spaces are generalizations of the space of bounded mean oscillation with . Their vanishing subspaces and are define…
The space : nontriviality and duality
Galia Dafni, Tuomas Hytönen, Riikka Korte +1
We study a function space based on a condition introduced by John and Nirenberg as a variant of BMO. It is known that , but otherwi…
Smoothness spaces of higher order on lower dimensional subsets of the Euclidean space
Lizaveta Ihnatsyeva, Riikka Korte
We study Sobolev type spaces defined in terms of sharp maximal functions on Ahlfors regular subsets of the Euclidean space and the relation between these spaces and traces of class…
Equivalence and self-improvement of p-fatness and Hardy's inequality, and association with uniform perfectness
Riikka Korte, Nageswari Shanmugalingam
We present an easy proof that --Hardy's inequality implies uniform --fatness of the boundary when . The proof works also in metric space setting and demonstrates the sel…