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The method of rotation and Marcinkiewicz integrals on product domains

Jiecheng Chen; Dashan Fan; Yiming Ying — 2002

Studia Mathematica

We give some rather weak sufficient condition for $L^{p}$ boundedness of the Marcinkiewicz integral operator $μ_{Ω}$ on the product spaces $ℝ ⁿ \times ℝ^{m}$ (1 < p < ∞), which improves and extends some known results.

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