4 citations · 7 across the 10 of their papers we have counts for
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Rubio de Francia's Extrapolation Theorem and Sparse Bounds
David Rule
Sparse bounds have proved to be a powerful tool which simplify the understanding of many important operators in harmonic analysis. The existence of a sparse bound for an operator i…
Sparse Bounds for Rough Fourier Integral Operators
Wellars Banzi, Froduald Minani, Solange Mukeshimana +1
We prove pointwise bounds for rough Fourier integral operators by the Hardy-Littlewood maximal function. We assume the Fourier integral operators have amplitudes in $L^\infty…
Boundary value problems for degenerate elliptic equations and systems
Pascal Auscher, Andreas Rosén, David Rule
We study boundary value problems for degenerate elliptic equations and systems with square integrable boundary data. We can allow for degeneracies in the form of an weight.…
Multilinear pseudodifferential operators beyond Calderón-Zygmund theory
Nicholas Michalowski, David J. Rule, Wolfgang Staubach
We consider two types of multilinear pseudodifferential operators. First, we prove the boundedness of multilinear pseudodifferential operators with symbols which are only measurabl…