Abstract

The boundedness of sublinear integral operators in weighted Morrey spaces defined on spaces of homogeneous type is established under the Muckenhoupt conditions on weights. These operators involve Hardy-Littlewood and fractional maximal operators, Calderon-Zygmund operators, potential operators, etc. The boundedness problem for commutators of sublinear operators is also studied. Applications to estimates for hypoelliptic operators in weighted Morrey spaces defined on nilpotent Lie groups are also given.

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