181 citations · 551 across the 67 of their papers we have counts for
5 papers · 1 filter
A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces
Salahaddine Boutayeb, Thierry Coulhon, Adam Sikora
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some characterisations of pointwise upper bounds of the heat kernel in terms of glob…
Analysis of degenerate elliptic operators of Grušin type
Derek W. Robinson, Adam Sikora
We analyze degenerate, second-order, elliptic operators in divergence form on $L_2(\Ri^{n}\times\Ri^{m})$. We assume the coefficients are real symmetric and $a_1H_δ\geq H\geq a…
The limitations of the Poincar{é} inequality
Derek W. Robinson, Adam Sikora
We examine the validity of the Poincaré inequality for degenerate, second-order, elliptic operators in divergence form on $L_2(\Ri^{n}\times\Ri^{m})$. We assume the coefficient…
G-Character varieties for G=SO(n,C) and other not simply connected groups
Adam S. Sikora
We describe the relation between G-character varieties, , and -character varieties, where is a finite, central subgroup of In particular, we find finite gener…
Boundedness of maximal functions on non-doubling manifolds with ends
Xuan Thinh Duong, Ji Li, Adam Sikora
Let be a manifold with ends constructed in \cite{GS} and be the Laplace-Beltrami operator on . In this note, we show the weak type and boundedness of the H…