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math.CA2026
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…
math.CA2026
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…