423 citations
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math.CA2010★ 19 cited
Factorization of the hypergeometric-type difference equation on the non-uniform lattices: dynamical algebra
R. Álvarez-Nodarse, N. M. Atakishiyev, R. S. Costas-Santos
We argue that one can factorize the difference equation of hypergeometric type on the nonuniform lattices in general case. It is shown that in the most cases of q-linear spectrum o…
math.CA2010★ 57 cited
The multilinear strong maximal function
Loukas Grafakos, Liguang Liu, Carlos Perez +1
A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen, Marcinkiewicz, and Zygmund t…