Listar por autor "Ortega-Salvador, Pedro"
Mostrando ítems 1-12 de 12
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A new proof of the characterization of the weighted Hardy inequality
Bernardis-Medici, Ana Lucía
; Martín-Reyes, Francisco Javier; Ortega-Salvador, Pedro (Cambridge University Press, 2005)
Maz'ja and Sinnamon proved a characterization of the boundedness of the Hardy operator from Lp(v) into Lq(w) in the case 0 < q < p, 1 < p < ∞. We present here a new simple proof of the sufficiency part of that result. -
A weighted weak-type multilinear gradient inequality
García García, Victor; Ortega-Salvador, Pedro (Springer Nature, 2025)
We characterize the weights w,v1,v2,…,vm for which the weak-type multilinear gradient inequality ‖∏i=1mfi‖p,∞;w≤C∏i=1m‖x⋅∇fi(x)‖pi,vi holds for all f1,f2,…,fm∈Cc∞(Rn) in the case 1p=1p1+1p2+⋯+1pm. -
Acotación y compacidad de operadores lineales y multilineales en espacios con pesos
(UMA Editorial, 2024-03)En esta tesis probaremos desigualdades con pesos para las versiones multilineales de algunos operadores del Análisis clásico. En este sentido, caracterizaremos las desigualdades de tipo débil mixto con pesos para los ... -
Hardy operators on weighted amalgams.
Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Cambridge University Press, 2010-02-04)
We characterize the boundedness of the Hardy operator between weighted amalgams, a problem studied, but not completely solved, by C. Carton-Lebrun, H. P. Heinig and S. C. Hofmann. We also characterize the weighted weak-type ... -
Some new weighted weak-type iterated and bilinear modified Hardy inequalities
García García, V.; Ortega-Salvador, Pedro (Springer Nature, 2024-03-02)
We characterize the good weights for some weighted weak-type iterated and bilinear modified Hardy inequalities to hold. -
Weighted bilinear Hardy inequalities.
Aguilar-Cañestro, María Isabel; Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Elsevier, 2012)
We characterize the weights w, w1, w2 such that the weighted bilinear Hardy inequality b a x a f q x a g q w(x)dx 1q C b a f p1w1 1 p1 b a gp2 w2 1 p2 holds for all nonnegative ... -
Weighted inequalities for Cesàro maximal operator in Orlicz spaces.
Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Cambridge University Press, 2005-04-26)
Let 0 < α ≤ 1 and let M+α be the Cesàro maximal operator of order α defined by In this work we characterize the pairs of measurable, positive and locally integrable functions (u, v) for which there exists a constant C > 0 ... -
Weighted inequalities for harmonic means.
Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Ele-Math, 2006)
We characterize the weighted weak and strong type (p, q) inequalities for the harmonic averaging operator Tf(x) = x/∫0x 1/f in the cases 0 < p ≤ q < ∞ and 0 < q < p < ∞. -
Weighted inequalities for the one-sided geometric maximal operators.
Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Wiley, 2011)
We characterize the pairs of weights (u, v) such that the one-sided geometric maximal operator G+, defined for functions f of one real variable by G+ f(x) = sup h>0 exp 1 h x+h x log |f| , verifies the ... -
Weighted modular inequalities for Hardy-Steklov operators.
Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Elsevier, 2005-10-26)
We characterize weighted modular inequalities of weak and strong type for the Hardy–Steklov operators T defined by , where g is a positive function and s, h are increasing and continuous functions such that for all x. -
Weighted weak type inequalities for modified Hardy operators and geometric means operators in dimensions one and greater.
Ortega-Salvador, Pedro; Ramírez Torreblanca, Consuelo (Elsevier, 2007-03-12)
We characterize the pairs of weights such that the geometric mean operator , defined for positive functions f on by verifies the weak type inequality in the case . Similar results are obtained for the n-dimensional ... -
Weighted weak-type iterated and bilinear Hardy inequalities
García García, V.; Ortega-Salvador, Pedro (Elsevier, 2023-03-31)
We characterize the good weights for a certain weighted weak-type iterated Hardy inequality to hold. As a consequence, we get the characterizations of some weighted weak-type bilinear Hardy inequalities.