Norms of composition operators on the Hardy space.
Appel, Matthew J., Bourdon, Paul S., Thrall, John J. (1996)
Experimental Mathematics
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Appel, Matthew J., Bourdon, Paul S., Thrall, John J. (1996)
Experimental Mathematics
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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.
Allen L. Shields (1983)
Mathematische Zeitschrift
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Miroslav Pavlović (1996)
Publications de l'Institut Mathématique
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Eugenio Hernández (1989)
Studia Mathematica
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Jacek Dziubanski, Jacek Zienkiewicz (1999)
Revista Matemática Iberoamericana
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Let {T} be the semigroup of linear operators generated by a Schrödinger operator -A = Δ - V, where V is a nonnegative potential that belongs to a certain reverse Hölder class. We define a Hardy space H by means of a maximal function associated with the semigroup {T}. Atomic and Riesz transforms characterizations of H are shown.
Soulaymane Korry (2002)
Revista Matemática Complutense
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We describe a class O of nonlinear operators which are bounded on the Lizorkin-Triebel spaces F (R), for 0 < s < 1 and 1 < p, q < ∞. As a corollary, we prove that the Hardy-Littlewood maximal operator is bounded on F (R), for 0 < s < 1 and 1 < p, q < ∞ ; this extends the result of Kinnunen (1997), valid for the Sobolev space H (R).
Liu, Lanzhe (2003)
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.