Equivalence of Haar Bases Associated with Different Dyadic Systems |
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| Authors: | Hugo Aimar Ana Bernardis Luis Nowak |
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| Affiliation: | 1.Departamento de Matemática (FIQ-UNL),IMAL-CONICET,Santa Fe,Argentina;2.Departamento de Matemática (FaEA-UNComa),IMAL-CONICET,Santa Fe,Argentina |
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| Abstract: | ![]()
In this note we give sufficient conditions on two dyadic systems on a space of homogeneous type in order to obtain the equivalence of corresponding Haar systems on Lebesgue spaces. The main tool is the vector-valued Fefferman–Stein inequality for the Hardy–Littlewood maximal operator. |
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