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8 papers · 1 filter
Wronskian type determinants of orthogonal polynomials, Selberg type formulas and constant term identities
Antonio J. Durán
Let be a sequence of orthogonal polynomials with respect to the measure . Let be a linear operator acting in the linear space of polynomials $\PP$ and satisfying t…
Exponential decay estimates for Singular Integral operators
Carmen Ortiz-Caraballo, Carlos Pérez, Ezequiel Rela
The following subexponential estimate for commutators is proved |[|\{x\in Q: |[b,T]f(x)|>tM^2f(x)\}|\leq c\,e^{-\sqrt{α\, t\|b\|_{BMO}}}\, |Q|, \qquad t>0.\] where and are…
Spectral methods for bivariate Markov processes with diffusion and discrete components and a variant of the Wright-Fisher model
Manuel D. de la Iglesia
The aim of this paper is to study differential and spectral properties of the infinitesimal operator of two dimensional Markov processes with diffusion and discrete components. The…
Orthogonal matrix polynomials satisfying differential equations with recurrence coefficients having non-scalar limits
Jorge Borrego, Mirta Castro, Antonio J. Durán
We introduce a family of weight matrices of the form , , where is certain nilpotent matrix and …
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…
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…