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PDF(436 KB)
PDF(436 KB)
一类粗糙核奇异积分算子的端点估计
Endpoint Estimates of a Class of Singular Integral Operators with Rough Kernels
设TΩ是带粗糙核的Calderón-Zygmund奇异积分算子，I为任意真包含在单位圆周S1上的闭圆弧.本文证明，若Ω支在I上并在I上单调，那么TΩ是从Hardy空间H1（R2）到L1（R2）的有界算子当且仅当||Ω||Llog L（S1） < ∞.
Assume TΩ is the Calderón-Zygmund singular integral operator with rough kernel and I is the closed arc of unit circle that I ? S1. In this paper, we prove that if Ω is supported in I and monotonous on I, then TΩ is bounded from Hardy space H1(R2) to L1(R2) if and only if||Ω||L log L < ∞.
端点估计 / 奇异积分算子 / 粗糙核 / Hardy空间 {{custom_keyword}} /
endpoint estimate / singular integral operators / rough kernel / Hardy space {{custom_keyword}} /
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