11 citations · 14 across the 4 of their papers we have counts for
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Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces
Peng Chen, Adam Sikora, Lixin Yan
We describe a simple but surprisingly effective technique of obtaining spectral multiplier results for abstract operators which satisfy the finite propagation speed property for th…
Exponential-square integrability, weighted inequalities for the square functions associated to operators and applications
Peng Chen, Xuan Thinh Duong, Liangchuan Wu +1
Let be a metric space with a doubling measure. Let be a nonnegative self-adjoint operator acting on , hence generates an analytic semigroup . Assume th…
Weighted restriction type estimates for grushin operators and application to spectral multipliers and bochner-riesz summability
Peng Chen, El Maati Ouhabaz
We prove weighted restriction type estimates for Grushin operators. These estimates are then used to prove sharp spectral multiplier theorems as well as Bochner-Riesz summability r…
Restriction estimates, sharp spectral multipliers and endpoint estimates for Bochner-Riesz means
Peng Chen, El Maati Ouhabaz, Adam Sikora +1
We consider abstract non-negative self-adjoint operators on which satisfy the finite speed propagation property for the corresponding wave equation. For such operators we…