논문KCI 등재
Lp-SOBOLEV REGULARITY FOR INTEGRAL OPERATORS OVER CERTAIN HYPERSURFACES
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초록
In this paper we establish sharp Lp-regularity estimates for averaging operators with convolution kernel associated to hypersurfaces in Rd(d ≥ 2) of the form y 7→ (y, (y)) where y ∈ Rd−1 and (y) = ∑ d−1 i=1 ±|yi|mi with 2 ≤ m1 ≤ · · · ≤ md−1.
Abstract
In this paper we establish sharp Lp-regularity estimates for averaging operators with convolution kernel associated to hypersurfaces in Rd(d ≥ 2) of the form y 7→ (y, (y)) where y ∈ Rd−1 and (y) = ∑ d−1 i=1 ±|yi|mi with 2 ≤ m1 ≤ · · · ≤ md−1.
참고문헌 (6)
- M. Christ, "Failure of an endpoint estimate for integrals along curves, Fourier analysis and partial differential equations (Miraflores de la Sierra, 1992)", pp.163~168 (1995), Stud. Adv. Math. CRC
- E. Ferreyra, "Endpoint bounds for convolution operators with singular measures", Colloq. Math, 76(1), pp.35~47 (1998)
- A. Iosevich, "On averaging operators associated with convex hypersurfaces of finite type", J. Anal. Math, 79, pp.159~187 (1999)
- A. Nagel, "Averages over convex hypersurfaces", Amer. J. Math, 115(4), pp.903~927 (1993)
- A. Seeger, "Some inequalities for singular convolution operators in Lp-spaces", Trans. Amer. Math. Soc, 308(1), pp.259~272 (1988)
- A. Seeger, "Sharp Lorentz space estimates for rough operators", Math. Ann, 320(2), pp.381~415 (2001)
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