COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS ON NON-HOMOGENEOUS METRIC MEASURE SPACES
Copyright policy )COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS ON NON-HOMOGENEOUS METRIC MEASURE SPACES
Let $(X,d,��)$ be a metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions, which is called non-homogeneous metric measure space. In this paper, via a sharp maximal operator, the boundedness of commutators generated by multilinear singular integral with $RBMO(��)$ function on non-homogeneous metric measure spaces in $m$-multiple Lebesgue spaces is obtained.
17 pages
- University of Science and Technology of China China (People's Republic of)
- Chaohu University China (People's Republic of)
Mathematics - Functional Analysis, 42B20, 42B25, commutators, $RBMO(\mu)$, multilinear singular integral, FOS: Mathematics, L Non-homogeneous metric measure spaces, 42B20, 42B25, Functional Analysis (math.FA)
Mathematics - Functional Analysis, 42B20, 42B25, commutators, $RBMO(\mu)$, multilinear singular integral, FOS: Mathematics, L Non-homogeneous metric measure spaces, 42B20, 42B25, Functional Analysis (math.FA)
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