On Hardy type inequality with non-isotropic kernels.
Sarikaya, Mehmet Zeki, Yildrim, Hüseyin (2006)
Lobachevskii Journal of Mathematics
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Sarikaya, Mehmet Zeki, Yildrim, Hüseyin (2006)
Lobachevskii Journal of Mathematics
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Jacek Dziubański, Jacek Zienkiewicz (1997)
Studia Mathematica
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For a Schrödinger operator A = -Δ + V, where V is a nonnegative polynomial, we define a Hardy space associated with A. An atomic characterization of is shown.
Liu, Lanzhe (2003)
Lobachevskii Journal of Mathematics
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Wu, Changhong, Liu, Lanzhe (2006)
Lobachevskii Journal of Mathematics
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Dmitry V. Rutsky (2014)
Studia Mathematica
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The Coifman-Fefferman inequality implies quite easily that a Calderón-Zygmund operator T acts boundedly in a Banach lattice X on ℝⁿ if the Hardy-Littlewood maximal operator M is bounded in both X and X'. We establish a converse result under the assumption that X has the Fatou property and X is p-convex and q-concave with some 1 < p, q < ∞: if a linear operator T is bounded in X and T is nondegenerate in a certain sense (for example, if T is a Riesz transform) then M is bounded...
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.
Appel, Matthew J., Bourdon, Paul S., Thrall, John J. (1996)
Experimental Mathematics
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B. Florkiewicz, A. Rybarski (1972)
Colloquium Mathematicae
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M. Mateljević, M. Pavlović (1982)
Matematički Vesnik
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Mostafa A. Nasr (1977)
Annales Polonici Mathematici
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Brian E. Blank, Dashan Fan (1997)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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