Weights, one-sided operators, singular integrals and ergodic theorems

Martín-Reyes, Francisco Javier

Displaying similar documents to “Weights, one-sided operators, singular integrals and ergodic theorems”

Two weight norm inequalities for fractional one-sided maximal and integral operators

Liliana De Rosa (2006)

Commentationes Mathematicae Universitatis Carolinae

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In this paper, we give a generalization of Fefferman-Stein inequality for the fractional one-sided maximal operator: $\int_{- \infty}^{+ \infty} M_{α}^{+} (f) {(x)}^{p} w (x) d x \leq A_{p} \int_{- \infty}^{+ \infty} {| f (x) |}^{p} M_{α p}^{-} (w) (x) d x,$ where $0 < α < 1$ and $1 < p < 1 / α$ . We also obtain a substitute of dual theorem and weighted norm inequalities for the one-sided fractional integral $I_{α}^{+}$ .

Weighted estimates of a measure of noncompactness for maximal and potential operators.

Asif, Muhammad, Meskhi, Alexander (2008)

Journal of Inequalities and Applications [electronic only]

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On weighted inequalities for ergodic operators

Hugo Aimar (1985)

Studia Mathematica

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Weighted inequalities for commutators of one-sided singular integrals

María Lorente, María Silvina Riveros (2002)

Commentationes Mathematicae Universitatis Carolinae

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We prove weighted inequalities for commutators of one-sided singular integrals (given by a Calder’on-Zygmund kernel with support in $(- \infty, 0)$ ) with BMO functions. We give the one-sided version of the results in C. Pérez, Sharp estimates for commutators of singular integrals via iterations of the Hardy-Littlewood maximal function, J. Fourier Anal. Appl., vol. 3 (6), 1997, pages 743–756 and C. Pérez, Endpoint estimates for commutators of singular integral operators, J. Funct. Anal., vol 128 (1),...

Weighted norm inequalities for a class of rough singular integrals.

Al-Qassem, H.M. (2005)

International Journal of Mathematics and Mathematical Sciences

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Potential operators in variable exponent Lebesgue spaces: two-weight estimates.

Kokilashvili, Vakhtang, Meskhi, Alexander, Sarwar, Muhammad (2010)

Journal of Inequalities and Applications [electronic only]

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Two weighted inequalities for convolution maximal operators.

Ana Lucía Bernardis, Francisco Javier Martín-Reyes (2002)

Publicacions Matemàtiques

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Let φ: R → [0,∞) an integrable function such that φχ = 0 and φ is decreasing in (0,∞). Let τf(x) = f(x-h), with h ∈ R {0} and f(x) = 1/R f(x/R), with R > 0. In this paper we characterize the pair of weights (u, v) such that the operators Mf(x) = sup|f| * [τφ](x) are of weak type (p, p) with respect to (u, v), 1 < p < ∞.