Weighted inequalities through factorization.

Eugenio Hernández

Displaying similar documents to “Weighted inequalities through factorization.”

Factorization and extrapolation of pairs of weights

Eugenio Hernández (1989)

Studia Mathematica

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Weighted inequalities for the two-dimensional Hardy operator

E. Sawyer (1985)

Studia Mathematica

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Weighted generalized weak type inequalities for modified Hardy operators.

Pedro Ortega Salvador (2000)

Collectanea Mathematica

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The factorization of the weighted Hardy space in terms of multilinear Calderón-Zygmund operators

Suixin He, Shuangping Tao (2023)

Czechoslovak Mathematical Journal

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We give a constructive proof of the factorization theorem for the weighted Hardy space in terms of multilinear Calderón-Zygmund operators. The result is also new even in the linear setting. As an application, we obtain the characterization of weighted BMO space via the weighted boundedness of commutators of the multilinear Calderón-Zygmund operators.

Norm inequalities in weighted amalgam

Suket Kumar (2018)

Commentationes Mathematicae Universitatis Carolinae

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Hardy inequalities for the Hardy-type operators are characterized in the amalgam space which involves Banach function space and sequence space.

Weighted Lorentz norm inequalities for integral operators

Elida Ferreyra (1990)

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. ...

Multilinear Calderón-Zygmund operators on weighted Hardy spaces

Wenjuan Li, Qingying Xue, Kôzô Yabuta (2010)

Studia Mathematica

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Grafakos-Kalton [Collect. Math. 52 (2001)] discussed the boundedness of multilinear Calderón-Zygmund operators on the product of Hardy spaces. Then Lerner et al. [Adv. Math. 220 (2009)] defined $A_{p ⃗}$ weights and built a theory of weights adapted to multilinear Calderón-Zygmund operators. In this paper, we combine the above results and obtain some estimates for multilinear Calderón-Zygmund operators on weighted Hardy spaces and also obtain a weighted multilinear version of an inequality for...

Some classical operators on Lorentz space.

C.J. NEUGEBAUER (1992)

Forum mathematicum

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On weighted inequality of Hardy type for higher order derivatives

Raman Adegoke, James Adedayo Oguntuase (2001)

Kragujevac Journal of Mathematics

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Hardy Inequality in Variable Exponent Lebesgue Spaces

Diening, Lars, Samko, Stefan (2007)

Fractional Calculus and Applied Analysis

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Mathematics Subject Classification: 26D10, 46E30, 47B38 We prove the Hardy inequality and a similar inequality for the dual Hardy operator for variable exponent Lebesgue spaces.

On the Hardy-type integral operators in Banach function spaces.

Elena Lomakina, Vladimir Stepanov (1998)

Publicacions Matemàtiques

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Characterization of the mapping properties such as boundedness, compactness, measure of non-compactness and estimates of the approximation numbers of Hardy-type integral operators in Banach function spaces are given.