Analogues of Hardy’s inequality in
Tatjana Ostrogorski (1988)
Studia Mathematica
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Tatjana Ostrogorski (1988)
Studia Mathematica
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Ostrogorski, Tatjana (1998)
International Journal of Mathematics and Mathematical Sciences
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Ishi, Hideyuki (2001)
Journal of Lie Theory
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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.
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.
Paweł Głowacki (1987)
Studia Mathematica
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A.T. Huckleberry, Eberhard Oeljeklaus (1980)
Mathematische Zeitschrift
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Robert Strichartz (1968)
Studia Mathematica
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Eiichi Nakai (2006)
Studia Mathematica
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We investigate the relations between the Campanato, Morrey and Hölder spaces on spaces of homogeneous type and extend the results of Campanato, Mayers, and Macías and Segovia. The results are new even for the ℝⁿ case. Let (X,d,μ) be a space of homogeneous type and (X,δ,μ) its normalized space in the sense of Macías and Segovia. We also study the relations of these function spaces for (X,d,μ) and for (X,δ,μ). Using these relations, we can show that theorems for the Campanato, Morrey or...
H. Länger (1980)
Colloquium Mathematicae
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Lasserre, Jean B. (1998)
Journal of Convex Analysis
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Andrew D. Burbanks, Colin T. Sparrow, Roger D. Nussbaum (2003)
Kybernetika
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Maps defined on the interior of the standard non-negative cone in which are both homogeneous of degree and order-preserving arise naturally in the study of certain classes of Discrete Event Systems. Such maps are non-expanding in Thompson’s part metric and continuous on the interior of the cone. It follows from more general results presented here that all such maps have a homogeneous order-preserving continuous extension to the whole cone. It follows that the extension must have...