Weighted norm inequalities for Riesz potentials and fractional maximal functions in mixed norm Lebesgue spaces
Tord Sjödin (1990)
Studia Mathematica
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Tord Sjödin (1990)
Studia Mathematica
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E. Sawyer (1990)
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Betancor, J.J., Jerez, C. (1997)
International Journal of Mathematics and Mathematical Sciences
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Eisner, Tímea (1998)
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Agarwal, Ravi P., O'Regan, Donal (2002)
Mathematical Problems in Engineering
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H. Heinig, G. Sinnamon (1998)
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Characterizations are obtained for those pairs of weight functions u and v for which the operators with a and b certain non-negative functions are bounded from to , 0 < p,q < ∞, p≥ 1. Sufficient conditions are given for T to be bounded on the cones of monotone functions. The results are applied to give a weighted inequality comparing differences and derivatives as well as a weight characterization for the Steklov operator.
Srinivasa Rao, Ch., Sachdev, P.L., Ramaswamy, Mythily (2001)
Mathematical Problems in Engineering
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Jana Feťková (1989)
Mathematica Slovaca
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Smiley, M.W., Fink, A.M. (1990)
International Journal of Mathematics and Mathematical Sciences
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Guliyev, Emin (2009)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: Primary 42B20, 42B25, 42B35 In this paper we study the Riesz potentials (B-Riesz potentials) generated by the Laplace-Bessel differential operator ∆B [...]. We establish an inequality of Stein-Weiss type for the B-Riesz potentials in the limiting case, and obtain the boundedness of the B-Riesz potential operator from the space Lp,|x|β,γ to BMO|x|−λ,γ. * Emin Guliyev’s research partially supported by the grant of INTAS YS Collaborative...