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math.CA2002
L^p bounds for a maximal dyadic sum operator
Loukas Grafakos, Terence Tao, Erin Terwilleger
We prove bounds in the range for a maximal dyadic sum operator on $\rn$. This maximal operator provides a discrete multidimensional model of Carleson's operator.…
math.CA2002★ 7 cited
A weak L^2 estimate for a maximal dyadic sum operator on R^n
Malabika Pramanik, Erin Terwilleger
Lacey and Thiele have recently obtained a new proof of Carleson's theorem on almost everywhere convergence of Fourier series. This paper is a generalization of their techniques (kn…