SINGULAR-INTEGRALS ON PRODUCT-SPACES
SINGULAR-INTEGRALS ON PRODUCT-SPACES
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DOI：
10.1016/s0001-8708(82)80001-7
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发表时间：
1982-01-01
影响因子：
1.7
通讯作者：
STEIN, EM
中科院分区：
文献类型：
--
作者：
FEFFERMAN, R;STEIN, EM
Calder6n和Zygmund [2]在他们著名的奇异积分理论中，得到了某些卷积算子在R”上的有界性，推广了Hilbert变换在R“上的有界性。因此，我们知道，如果T（f）= f，则K和K（x）定义在R”上，并且满足1lx在Rl上所满足的类似估计，即
In their well-known theory of singular integrals on R", Calder6n and Zygmund [2] obtained the boundedness of certain convolution operators on R" which generalize the Hilbert transform on R~. Thus, we know that if T (f)= f, K and K (x) is defined on R" and satisfies the analogous estimates that 1Ix satisfies on R l, namely