Feng Liu, Qingying Xue, Pu Zhang
Abstract
Abstract Let M be the Hardy–Littlewood maximal function and let be its corresponding commutator. For and , we show that the commutator is bounded and continuous from Sobolev space to Sobolev space for when , from Triebel–Lizorkin space to if and from Besov space to if and .
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Abstract Let M be the Hardy–Littlewood maximal function and let be its corresponding commutator. For and , we show that the commutator is bounded and continuous from Sobolev space to Sobolev space for when , from Triebel–Lizorkin space to if and from Besov space to if and .
Key concepts: Commutator, Mathematics, Bounded mean oscillation, Sobolev space, Hardy space, Bounded function, Space (punctuation), Pure mathematics