11 citations · 96 across the 32 of their papers we have counts for
4 papers · 2 filters
Luzin's Condition (N) and Modulus of Continuity
Pekka Koskela, Jan Malý, Thomas Zürcher
In this paper, we establish Luzin's condition (N) for mappings in certain Sobolev-Orlicz spaces with certain moduli of continuity. Further, given a mapping in these Sobolev-Orlicz…
Solvability of the divergence equation implies John via Poincaré inequality
Renjin Jiang, Aapo Kauranen, Pekka Koskela
Let $Ω\subset \rr^2$ be a bounded simply connected domain. We show that, for a fixed (every) $p\in (1,\fz),$ the divergence equation is solvable in $W^…
Intrinsic Geometry and Analysis of Diffusion Processes and -Variational Problems
Pekka Koskela, Nageswari Shanmugalingam, Yuan Zhou
The aim of this paper is two-fold: First, we obtain a better understanding of the intrinsic distance of diffusion processes. Precisely, (i) for all , the diffusion matrix $A…
Boundary blow up under Sobolev mappings
Aapo Kauranen, Pekka Koskela
We prove that for mappings continuous up to the boundary, with modulus of continuity satisfying certain divergence condition, the image of the boundary of the…