Riesz potential on the Heisenberg group.
Xiao, Jinsen, He, Jianxun (2011)
Journal of Inequalities and Applications [electronic only]
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Xiao, Jinsen, He, Jianxun (2011)
Journal of Inequalities and Applications [electronic only]
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Asif, Muhammad, Meskhi, Alexander (2008)
Journal of Inequalities and Applications [electronic only]
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Gilles Pisier (1988)
Séminaire de probabilités de Strasbourg
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Liu, Lanzhe, Tong, Qingshan (2005)
International Journal of Mathematics and Mathematical Sciences
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Takao Ohno, Tetsu Shimomura (2014)
Czechoslovak Mathematical Journal
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Our aim in this paper is to deal with the boundedness of the Hardy-Littlewood maximal operator on grand Morrey spaces of variable exponents over non-doubling measure spaces. As an application of the boundedness of the maximal operator, we establish Sobolev's inequality for Riesz potentials of functions in grand Morrey spaces of variable exponents over non-doubling measure spaces. We are also concerned with Trudinger's inequality and the continuity for Riesz potentials.
Liliana Forzani, Roberto Scotto, Wilfredo Urbina (2001)
Séminaire de probabilités de Strasbourg
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Cruz-Uribe, D., Firorenza, A., Neugebauer, C. J. (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Liu, Lanzhe (2004)
International Journal of Mathematics and Mathematical Sciences
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