On the boundedness of classical operators on weighted Lorentz spaces.
Rakotondratsimba, Y. (1998)
Georgian Mathematical Journal
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Rakotondratsimba, Y. (1998)
Georgian Mathematical Journal
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In this paper, we discuss a class of weighted inequalities for operators of potential type on homogeneous spaces. We give sufficient conditions for the weak and strong type weighted inequalities sup_{λ>0} λ|{x ∈ X : |T(fdσ)(x)|>λ }|_{ω}^{1/q} ≤ C (∫_{X} |f|^{p}dσ)^{1/p} and (∫_{X} |T(fdσ)|^{q}dω )^{1/q} ≤ C (∫_X |f|^{p}dσ )^{1/p} in the cases of 0 < q < p ≤ ∞ and 1 ≤ q < p < ∞, respectively, where T is an operator of potential type, and ω and σ are Borel measures on...
Rakotondratsimba, Y. (1996)
Georgian Mathematical Journal
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Xiaosha Zhou (2008)
Kragujevac Journal of Mathematics
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Acta Universitatis Apulensis. Mathematics - Informatics
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Georgian Mathematical Journal
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Kragujevac Journal of Mathematics
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