Virtually repelling fixed point.

Xavier Buff

Displaying similar documents to “Virtually repelling fixed point.”

A semi-discrete Littlewood-Paley inequality

J. M. Wilson (2002)

Studia Mathematica

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We apply a decomposition lemma of Uchiyama and results of the author to obtain good weighted Littlewood-Paley estimates for linear sums of functions satisfying reasonable decay, smoothness, and cancellation conditions. The heart of our application is a combinatorial trick treating m-fold dilates of dyadic cubes. We use our estimates to obtain new weighted inequalities for Bergman-type spaces defined on upper half-spaces in one and two parameters, extending earlier work of R. L. Wheeden...

On the dual of weighted $H^{1}$ of the half-space

Benjamin Muckenhoupt, Richard Wheeden (1978)

Studia Mathematica

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Norm inequalities for potential-type operators.

Sagun Chanillo, Jan-Olov Strömberg, Richard L. Wheeden (1987)

Revista Matemática Iberoamericana

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The purpose of this paper is to derive norm inequalities for potentials of the form Tf(x) = ∫_(Rⁿ) f(y)K(x,y)dy, x ∈ Rⁿ, when K is a Kernel which satisfies estimates like those that hold for the Green function associated with the degenerate elliptic equations studied in [3] and [4].

Weighted integral inequalities for the nontangential maximal function, Lusin area integral, and Walsh-Paley series

R. Gundy, R. Wheeden (1974)

Studia Mathematica

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On the dual of weighted $H^{1} (| z | < 1)$

Richard Wheeden (1979)

Banach Center Publications

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Weighted Bergman projections and tangential area integrals

William Cohn (1993)

Studia Mathematica

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Let Ω be a bounded strictly pseudoconvex domain in $ℂ^{n}$ . In this paper we find sufficient conditions on a function f defined on Ω in order that the weighted Bergman projection $P_{s} f$ belong to the Hardy-Sobolev space $H_{k}^{p} (\partial Ω)$ . The conditions on f we consider are formulated in terms of tent spaces and complex tangential vector fields. If f is holomorphic then these conditions are necessary and sufficient in order that f belong to the Hardy-Sobolev space $H_{k}^{p} (\partial Ω)$ .

Kernel estimates for fractional integrals with polynomial weights

Jan-Olov Strömberg, Richard Wheeden (1986)

Studia Mathematica

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Weighted inequalities on product domains

Shuichi Sato (1989)

Studia Mathematica

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First and second order Opial inequalities

Steven Bloom (1997)

Studia Mathematica

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Let $T_{γ} f (x) = ʃ_{0}^{x} k {(x, y)}^{γ} f (y) d y$ , where k is a nonnegative kernel increasing in x, decreasing in y, and satisfying a triangle inequality. An nth-order Opial inequality has the form $ʃ_{0}^{\infty} (\prod_{i = 1}^{n} | T_{γ_{i}} {f (x) |}^{q_{i}} {|) | f (x) |}^{q_{0}} w (x) d x \leq C (ʃ_{0}^{\infty} {| f (x) |}^{p} {v (x) d x)}^{(q_{0} + \dots + q_{n}) / p}$ . Such inequalities can always be simplified to nth-order reduced inequalities, where the exponent $q_{0} = 0$ . When n = 1, the reduced inequality is a standard weighted norm inequality, and characterizing the weights is easy. We also find necessary and sufficient conditions on the weights for second-order reduced Opial inequalities to hold. ...

Weighted inequalities for vector-valued maximal functions and singular integrals

Kenneth Andersen, Russel John (1981)

Studia Mathematica

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A stability result on Muckenhoupt's weights.

Juha Kinnunen (1998)

Publicacions Matemàtiques

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We prove that Muckenhoupt's A-weights satisfy a reverse Hölder inequality with an explicit and asymptotically sharp estimate for the exponent. As a by-product we get a new characterization of A-weights.