Embedding derivatives and derivative Area operators of Hardy spaces into Lebesgue spaces

2024/10/08 by Liu, Xiaosong, Lou, Zengjian, Yuan, Zixing +1
#32A37 #F.2.2 #FOS: Computer and information sciences #I.2.7 #Information Retrieval (cs.IR) #Primary 47B38 #Secondary 32A35

paper · doi:10.48550/arxiv.2410.05672

Abstract

We characterize the compactness of embedding derivatives from Hardy space H^p into Lebesgue space L^q(μ). We also completely characterize the boundedness and compactness of derivative area operators from H^p into L^q(\mathbbS_n), 0

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