1992
DOI: 10.4171/zaa/617
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Singular Integral Operators with Operator-Valued Kernels on Spaces of Homogeneous Type

Abstract: We give a generalized form of the Hormander-Schwartz-Triebel theorem for singular integral operators of potential type as well as a sequentiaI version. Applications include fractionary maximal inequalities of Hardy- Littlewood and Fefferman-Stein type.

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“…For W = 1 and E = q , 1 < q < ∞, but for more general spaces X (of homogeneous type) it was proved in [2,22]. Theorem 1.3 for X = R n and W = 1 was proved in [21].…”
mentioning
confidence: 95%
“…For W = 1 and E = q , 1 < q < ∞, but for more general spaces X (of homogeneous type) it was proved in [2,22]. Theorem 1.3 for X = R n and W = 1 was proved in [21].…”
mentioning
confidence: 95%