We give sufficient conditions such that multilinear maximal operator and multilinear fractional maximal operators satisfy strong type and weak type two-weight norm inequalities. These results extend Sawyer's theorem and other well-known results.
Abstract. Let L be a nonnegative, self-adjoint operator on L 2 (R n ) with the Gaussian upper bound on its heat kernel. As a generalization of the square Campanato space L
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