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Depósito Digital de Documentos de la UAB Encontrados 3 registros  La búsqueda tardó 0.00 segundos. 
1.
17 p, 201.7 KB Inequalities for poisson integrals with slowly growing dimensional constants / Grafakos, Loukas (University of Missouri. Department of Mathematics) ; Laeng, Enrico (Politecnico di Milano. Dipartimento di Matematica) ; Morpurgo, Carlo (University of Missouri. Department of Mathematics)
Let Pt be the Poisson kernel. We study the following Lp inequality for the Poisson integral P f(x, t) = (Pt ∗ f)(x) with respect to a Carleson measure µ: L p(R n+1 + ,dµ) ≤ cp,nκ(µ) 1 p L p(Rn,dx) , where 1 < p < ∞ and κ(µ) is the Carleson norm of µ. [...]
2007 - 10.5565/PUBLMAT_51107_04
Publicacions matemàtiques, Vol. 51 Núm. 1 (2007) , p. 59-75  
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2.
35 p, 421.5 KB On multilinear singular integrals of Calderón-Zygmund type / Grafakos, Loukas (University of Missouri. Department of Mathematics) ; Torres, Rodolfo H. (University of Kansas. Department of Mathematics)
A variety of results regarding multilinear Calderón-Zygmund singular integral operators is systematically presented. Several tools and techniques for the study of such operators are discussed. These include new multilinear endpoint weak type estimates, multilinear interpolation, appropriate discrete decompositions, a multilinear version of Schur's test, and a multilinear version of the T1 Theorem suitable for the study of multilinear pseudodifferential and translation invariant operators. [...]
2002 - 10.5565/PUBLMAT_Esco02_04
Publicacions matemàtiques, Vol. Extra (2002) , p. 57-91  
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3.
19 p, 191.4 KB Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces / Dragicevic, Oliver ; Grafakos, Loukas ; Pereyra, María Cristina ; Petermichl, Stefanie
We obtain sharp weighted Lp estimates in the Rubio de Francia extrapolation theorem in terms of the Ap characteristic constant of the weight. Precisely, if for a given 1 &lt; r &lt; [infinity] the norm of a sublinear operator on Lr(w) is bounded by a function of the Ar characteristic constant of the weight w, then for p &gt; r it is bounded on Lp(v) by the same increasing function of the Ap characteristic constant of v, and for p &lt; r it is bounded on Lp(v) by the same increasing function of the r-1/p-1 power of the Ap characteristic constant of v. [...]
2005 - 10.5565/PUBLMAT_49105_03
Publicacions matemàtiques, V. 49 N. 1 (2005) , p. 73-91  
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