齐次群上一类奇异积分算子的 Lp 估计
Lp Estimates for Some Singular Integral Operators on Homogeneous Groups
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摘要: 通过研究齐次群G上辅助函数m(x,v)的性质,建立了一类与Bq权相关的奇异积分算子,并且证明了该类算子的Lp有界性,将Rn上的有界性结果推广到了齐次群上.Abstract: By studying some important features about m(x,v) on homogeneous group G, the definition for some singular integral operators with Bqweight is given. The proof of Lpboundedness for this operator is then obtained, expanding the results on Rn.
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