11 citations · 56 across the 24 of their papers we have counts for
6 papers · 1 filter
Towards spaces of harmonic functions with traces in square Campanato space and its scaling invariant
Renjin Jiang, Jie Xiao, Dachun Yang
For and , let be the space of harmonic functions on the upper half space satisfying $$\displaystyle\sup_{(x_0,r)\in \mathbb…
Cheeger-harmonic functions in metric measure spaces revisited
Renjin Jiang
Let be a complete metric measure space, with a locally doubling measure, that supports a local weak -Poincaré inequality. By assuming a heat semigroup type curva…
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^…
Korn inequality on irregular domains
Renjin Jiang, Aapo Kauranen
In this paper, we study the weighted Korn inequality on some irregular domains, e.g., -John domains and domains satisfying quasi-hyperbolic boundary conditions. Examples regardi…
Hajlasz Gradients Are Upper Gradients
Renjin Jiang, Nageswari Shanmugalingam, Dachun Yang +1
Let be a metric measure space, with a Borel regular measure. In this paper, we prove that, if and is a Hajłasz gradient…
Regularity and Capacity for the Fractional Dissipative Operator
Renjin Jiang, Jie Xiao, Dachun Yang +1
This note is devoted to exploring some analytic-geometric properties of the regularity and capacity associated to the so-called fractional dissipative operator ,…