Publications (39)
Comparison of the classical BMO with the BMO spaces associated with operators and applications
Donggao Deng, Xuan Thinh Duong, Adam Sikora +1
Gaussian heat kernel estimates: from functions to forms
Thierry Coulhon, Baptiste Devyver, Adam Sikora
Weighted norm inequalities, Gaussian bounds and sharp spectral multipliers
Xuan Thinh Duong, Adam Sikora, Lixin Yan
Grušin operators, Riesz transforms and nilpotent Lie groups
Derek W Robinson, Adam Sikora
Riesz meets Sobolev
Thierry Coulhon, Adam Sikora
Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces
Peng Chen, Adam Sikora, Lixin Yan
Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means
Peng Chen, El Maati Ouhabaz, Adam Sikora +1
Multivariable spectral multipliers and quasielliptic operators
Adam Sikora
Bochner-Riesz summability for analytic functions on the m-complex unit sphere and for cylindrically symmetric functions on R^{n-1} times R
Adam Sikora, Terence Tao
Markov uniqueness of degenerate elliptic operators
Derek W. Robinson, Adam Sikora
Bochner-Riesz profile of anharmonic oscillator ${\mathcal L}=-\frac{d^2}{dx^2}+|x|$
Peng Chen, Waldemar Hebisch, Adam Sikora
Degenerate elliptic operators in one dimension
Derek W. Robinson, Adam Sikora
Gradient estimates for heat kernels and harmonic functions
Thierry Coulhon, Renjin Jiang, Pekka Koskela +1
Restriction and spectral multiplier theorems on asymptotically conic manifolds
Colin Guillarmou, Andrew Hassell, Adam Sikora
Sharp spectral multipliers for operators satisfying generalized Gaussian estimates
Adam Sikora, Lixin Yan, Xiaohua Yao
Riesz transforms on a class of non-doubling manifolds
Andrew Hassell, Adam Sikora
$L_1$-uniqueness of degenerate elliptic operators
Derek W. Robinson, Adam Sikora
Gaussian heat kernel upper bounds via Phragmén-Lindelöf theorem
Thierry Coulhon, Adam Sikora
Degenerate elliptic operators: capacity, flux and separation
Derek W. Robinson, Adam Sikora
Second-order operators with degenerate coefficients
A. F. M. ter Elst, Derek W. Robinson, Adam Sikora +1
Lie group approach to Grushin operators
Jacek DziubaÅski, Adam Sikora
Analysis of degenerate elliptic operators of Grushin type
Derek W. Robinson, Adam Sikora
Riesz transforms in one dimension
Andrew Hassell, Adam Sikora
Riesz transform, Gaussian bounds and the method of wave equation
Adam Sikora
Dirichlet forms and degenerate elliptic operators
A. F. M. ter Elst, Derek W. Robinson, Adam Sikora +1
A new approach to pointwise heat kernel upper bounds on doubling metric measure spaces
Salahaddine Boutayeb, Thierry Coulhon, Adam Sikora
Analysis of degenerate elliptic operators of Grušin type
Derek W. Robinson, Adam Sikora
Spectral multipliers, Bochner-Riesz means and uniform Sobolev inequalities for elliptic operators
Adam Sikora, Lixin Yan, Xiaohua Yao
Sharp spectral multipliers without semigroup framework and application to random walks
Peng Chen, El Maati Ouhabaz, Adam Sikora +1
Resolvent at low energy III: the spectral measure
Colin Guillarmou, Andrew Hassell, Adam Sikora
Flows and invariance for elliptic operators
A. F. M. ter Elst, Derek W. Robinson, Adam Sikora
Spectral multipliers for the Kohn Laplacian on forms on the sphere in $\mathbb{C}^n$
Valentina Casarino, Michael G. Cowling, Alessio Martini +1
Bounds on the maximal Bochner-Riesz means for elliptic operators
Peng Chen, Sanghyuk Lee, Adam Sikora +1
The limitations of the Poincar{é} inequality
Derek W. Robinson, Adam Sikora
Ellipticity and Ergodicity
Derek W. Robinson, Adam Sikora
Boundedness of maximal functions on non-doubling manifolds with ends
Xuan Thinh Duong, Ji Li, Adam Sikora
Sharp spectral multipliers for a new class of Grushin type operators
Peng Chen, Adam Sikora
Weighted Plancherel estimates and sharp spectral multipliers for the Grushin operators
Alessio Martini, Adam Sikora
Small time asymptotics of diffusion processes
A. F. M. ter Elst, Derek W. Robinson, Adam Sikora