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- W2064683669 abstract "We study certain singular integral operators and related square functions on product spaces ℝn×ℝm (n≥2 ,m≥2), whose integral kernels are obtained from kernels which are homogeneous in each factor ℝn and ℝm and locally in Lq (q>1)away from ℝn×{0} and {0}×ℝmby means of polynomial distortions in the radial variables. We prove that, if the kernels satisfy the mean zero condition (1.1), the singular integral operators and square functions are bounded on Lp (ℝn×ℝm ), p∈ (1, ∞),and the bounds are independent of the coeffcients of the polynomials." @default.
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- W2064683669 date "2001-10-01" @default.
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- W2064683669 title "Certain Square Functions on Product Spaces" @default.
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- W2064683669 doi "https://doi.org/10.1002/1522-2616(200110)230:1<5::aid-mana5>3.0.co;2-o" @default.
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