Li Yin
Abstract
The commutator of fractional integral [b,TΩ,α] with variable kernels on Herz-Hardy space is discussed,where b is a Lipschitz function,and its boundedness from HK·η,pq1(Rn) to η,pq2(Rn) is obtained if the kernel Ω∈L∞×Lr(Sn-1)(r≥1).
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The commutator of fractional integral [b,TΩ,α] with variable kernels on Herz-Hardy space is discussed,where b is a Lipschitz function,and its boundedness from HK·η,pq1(Rn) to η,pq2(Rn) is obtained if the kernel Ω∈L∞×Lr(Sn-1)(r≥1).
Key concepts: Commutator, Mathematics, Lipschitz continuity, Kernel (algebra), Variable (mathematics), Pure mathematics, Fractional calculus, Space (punctuation)