Listar por autor "Ramírez Torreblanca, Consuelo"
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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 ... -
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 ...