Weighted norm inequalities and homogeneous cones
Tatjana Ostrogorski (1998)
Colloquium Mathematicae
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Tatjana Ostrogorski (1998)
Colloquium Mathematicae
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Ostrogorski, Tatjana (1998)
International Journal of Mathematics and Mathematical Sciences
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Chin-Cheng Lin (1996)
Studia Mathematica
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We give sufficient conditions on the kernel K for the convolution operator Tf = K ∗ f to be bounded on Hardy spaces , where G is a homogeneous group.
Javier Soria (2010)
Studia Mathematica
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We find the norm of the Hardy operator minus the identity acting on the cone of radially decreasing functions on minimal Lorentz spaces (restricted type estimates).
Mejjaoli, Hatem (2012)
Serdica Mathematical Journal
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2010 Mathematics Subject Classification: Primary 35L05. Secondary 46E35, 35J25, 22E30. In this paper we define the homogeneous Besov spaces associated with the Dunkl operators on R^d, and we give a complete analysis on these spaces and same applications.
Ishi, Hideyuki (2001)
Journal of Lie Theory
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Yongsheng Han, Dachun Yang (2003)
Studia Mathematica
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New norms for some distributions on spaces of homogeneous type which include some fractals are introduced. Using inhomogeneous discrete Calderón reproducing formulae and the Plancherel-Pólya inequalities on spaces of homogeneous type, the authors prove that these norms give a new characterization for the Besov and Triebel-Lizorkin spaces with p, q > 1 and can be used to introduce new inhomogeneous Besov and Triebel-Lizorkin spaces with p, q ≤ 1 on spaces of homogeneous type. Moreover,...
Jean Dolbeault, Maria J. Esteban, Eric Séré (2001-2002)
Séminaire Équations aux dérivées partielles
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A non-homogeneous Hardy-like inequality has recently been found to be closely related to the knowledge of the lowest eigenvalue of a large class of Dirac operators in the gap of their continuous spectrum.
Eugenio Hernández (1989)
Studia Mathematica
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A.T. Huckleberry, Eberhard Oeljeklaus (1980)
Mathematische Zeitschrift
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H. Länger (1980)
Colloquium Mathematicae
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Robert Strichartz (1968)
Studia Mathematica
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Appel, Matthew J., Bourdon, Paul S., Thrall, John J. (1996)
Experimental Mathematics
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