181 citations · 551 across the 67 of their papers we have counts for
6 papers · 2 filters
Comparison of the classical BMO with the BMO spaces associated with operators and applications
Donggao Deng, Xuan Thinh Duong, Adam Sikora +1
Let L be a generator of a semigroup satisfying the Gaussian upper bounds. In this paper, we study further a new BMO_L space associated with L which was introduced recently by Duong…
Gaussian heat kernel upper bounds via Phragmén-Lindelöf theorem
Thierry Coulhon, Adam Sikora
We prove that in presence of Gaussian estimates, so-called Davies-Gaffney estimates, on-diagonal upper bounds imply precise off-diagonal Gaussian upper bounds for the kernels…
Analysis of degenerate elliptic operators of Grushin type
Derek W. Robinson, Adam Sikora
We analyze degenerate, second-order, elliptic operators in divergence form on . We assume the coefficients are real symmetric and $a_1H_δ\geq…
Degenerate elliptic operators: capacity, flux and separation
Derek W. Robinson, Adam Sikora
Let be the semigroup generated on $L_2(\Ri^d)$ by a self-adjoint, second-order, divergence-form, elliptic operator with Lipschitz continuous coefficients.…
Small time asymptotics of diffusion processes
A. F. M. ter Elst, Derek W. Robinson, Adam Sikora
We establish the short-time asymptotic behaviour of the Markovian semigroups associated with strongly local Dirichlet forms under very general hypotheses. Our results apply to a wi…
Dirichlet forms and degenerate elliptic operators
A. F. M. ter Elst, Derek W. Robinson, Adam Sikora +1
It is shown that the theory of real symmetric second-order elliptic operators in divergence form on $\Ri^d$ can be formulated in terms of a regular strongly local Dirichlet form ir…