Lp-continuity for Calderón–Zygmund operator
نویسنده
چکیده
Abstract. Given a Calderón–Zygmund (C–Z for short) operator T , which satisfies Hörmander condition, we prove that: if T maps all the characteristic atoms to W L1, then T is continuous from Lp to Lp(1 < p < ∞). So the study of strong continuity on arbitrary function in Lp has been changed into the study of weak continuity on characteristic functions.
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تاریخ انتشار 2004