Abstract
For the hypersurface Γ=(y,γ(y)), the singular integral operator along Γ is defined by.
where Σ is homogeneous of order 0,\( \int_{\Sigma _{n \lambda } } {\Omega (y')dy'} = 0 \). For a certain class of hypersurfaces, T is shown to be bounded on Lp(Rn) provided Ω∈L 1α (Σ n−2),P>1.
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Qirong, Q. Bounds for singular integrals associated with a class of hypersurfaces. Approx. Theory & its Appl. 10, 24–31 (1994). https://doi.org/10.1007/BF02836237
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DOI: https://doi.org/10.1007/BF02836237