New proofs of two-weight norm inequalities for the maximal operator.
Cruz-Uribe, D. (2000)
Georgian Mathematical Journal
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Cruz-Uribe, D. (2000)
Georgian Mathematical Journal
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K. Rauf, J. O. Omolehin (2006)
Kragujevac Journal of Mathematics
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Kuang Jichang (2014)
Matematički Vesnik
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Kokilashvili, V., Meskhi, A. (1999)
Georgian Mathematical Journal
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Liu Lanzhe (2007)
RACSAM
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We prove some weighted endpoint estimates for some multilinear operators related to certain singular integral operators on Herz and Herz type Hardy spaces.
Liu, Lanzhe (2004)
Acta Mathematica Universitatis Comenianae. New Series
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Rakotondratsimba, Y. (1996)
Georgian Mathematical Journal
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Guliev, V.S. (1994)
Georgian Mathematical Journal
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K. Rauf, C. O. Imoru (2002)
Kragujevac Journal of Mathematics
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Lanzhe Liu (2004)
Extracta Mathematicae
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Kufner, A., Kuliev, K., Kulieva, G. (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Samko, Stefan (2005)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 26D10. The sharp constant is obtained for the Hardy-Stein-Weiss inequality for fractional Riesz potential operator in the space L^p(R^n, ρ) with the power weight ρ = |x|^β. As a corollary, the sharp constant is found for a similar weighted inequality for fractional powers of the Beltrami-Laplace operator on the unit sphere.