16 citations · 87 across the 36 of their papers we have counts for
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math.AP2019★ 2 cited
Bernstein inequalities via the heat semigroup
Rafik Imekraz, El Maati Ouhabaz
We extend the classical Bernstein inequality to a general setting including Schr{ö}dinger operators and divergence form elliptic operators on Riemannian manifolds or domains. Moreo…
math.AP2019
Sharp spectral multipliers without semigroup framework and application to random walks
Peng Chen, El Maati Ouhabaz, Adam Sikora +1
In this paper we prove spectral multiplier theorems for abstract self-adjoint operators on spaces of homogeneous type. We have two main objectives. The first one is to work outside…
math.AP2019
The Kato square root problem on an arbitrary domain of
Julan Bailey, El Maati Ouhabaz
We solve the Kato square root problem for general elliptic operators and systems with measurable and complex coefficients on any domain of the Euclidean space. The operators are su…