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math.CA2016
Positive sparse domination of variational Carleson operators
Francesco Di Plinio, Yen Q. Do, Gennady N. Uraltsev
Due to its nonlocal nature, the -variation norm Carleson operator does not yield to the sparse domination techniques of Lerner, Di Plinio and Lerner, Lacey. We overcome th…
math.CA2016
Variational estimates for the bilinear iterated Fourier integral
Yen Do, Camil Muscalu, Christoph Thiele
We prove pointwise variational Lp bounds for a bilinear Fourier integral operator in a large but not necessarily sharp range of exponents. This result is a joint strengthening of t…