Two-weighted estimates for generalized fractional maximal operators on non-homogeneous spaces |
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Authors: | Gladis Pradolini Jorgelina Recchi |
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Institution: | 1.Facultad de Ingeniería Química (CONICET UNL),Santa Fe,Argentina;2.Instituto de Matemática Bahía Blanca (CONICET UNS), and Departamento de Matemáticas (UNS),Bahía Blanca,Argentina |
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Abstract: | Let μ be a nonnegative Borel measure on R d satisfying that μ(Q) ? l(Q)n for every cube Q ? R n , where l(Q) is the side length of the cube Q and 0 < n ? d.We study the class of pairs of weights related to the boundedness of radial maximal operators of fractional type associated to a Young function B in the context of non-homogeneous spaces related to the measure μ. Our results include two-weighted norm and weak type inequalities and pointwise estimates. Particularly, we give an improvement of a two-weighted result for certain fractional maximal operator proved in W.Wang, C. Tan, Z. Lou (2012). |
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