Weighted norm inequalities for averaging operators of monotone functions.
Christoph J. Neugebauer (1991)
Publicacions Matemàtiques
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We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫ f of monotone functions.
Christoph J. Neugebauer (1991)
Publicacions Matemàtiques
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We prove weighted norm inequalities for the averaging operator Af(x) = 1/x ∫ f of monotone functions.
Dashan Fan, Shanzhen Lu, Dachun Yang (1998)
Publicacions Matemàtiques
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In this paper, the authors introduce a kind of local Hardy spaces in R associated with the local Herz spaces. Then the authors investigate the regularity in these local Hardy spaces of some nonlinear quantities on superharmonic functions on R. The main results of the authors extend the corresponding results of Evans and Müller in a recent paper.
Péter Simon, Ferenc Weisz (1997)
Studia Mathematica
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Our main result is a Hardy type inequality with respect to the two-parameter Vilenkin system (*) (1/2 < p≤2) where f belongs to the Hardy space defined by means of a maximal function. This inequality is extended to p > 2 if the Vilenkin-Fourier coefficients of f form a monotone sequence. We show that the converse of (*) also holds for all p > 0 under the monotonicity assumption.
D. Deng (1984)
Studia Mathematica
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Zongguang Liu, Guozhen Lu, Shanzhen Lu (2003)
Publicacions Matemàtiques
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In this paper, we obtain some strong and weak type continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator on Hardy spaces, Hardy type spaces and weak Hardy type spaces.
Oscar Salinas (1991)
Studia Mathematica
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Ernst Adams (1984)
Studia Mathematica
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Jürgen Marschall (1987)
Studia Mathematica
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Liliana de Rosa, Carlos Segovia (2002)
Collectanea Mathematica
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One-sided versions of maximal functions for suitable defined distributions are considered. Weighted norm equivalences of these maximal functions for weights in the Sawyer's Aq+ classes are obtained.
M. Mateljević, M. Pavlović (1984)
Studia Mathematica
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