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We introduce a new concept Condition (C*), and denote the set of all functions satisfying Condition (C*) by , which are translation bounded but not translation compact in , and we show that there are many functions satisfying Condition (C*); then, in application, we obtain the existence of uniform attractors in for non-autonomous wave equations involving mixed differential quotient terms with this new class of time dependent external forces .  相似文献   

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We consider the boundedness of Calderón-Zygmund operators from to , where is the Hardy space associated with the Herz space and is the local version of . We show Calderón's commutator is bounded from to .  相似文献   

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