36 citations · 42 across the 8 of their papers we have counts for
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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★ 4 cited
Variational Carleson embeddings into the upper 3-space
Gennady Uraltsev
In this paper we formulate embedding maps into time-frequency space related to the Carleson operator and its variational counterpart. We prove bounds for these embedding maps by it…