1,239 research outputs found
Corrections to ''Minimal piecewise linear cones in '' (Math. Scand. 130 (2024), 149--160)
The paper “Minimal piecewise linear cones in ” (Math. Scand. 130 (2024), 149–160) contains two errors. The result is weakened from a full classification of the five minimal piecewise linear cones in to a classification of five minimizers and two candidates that we could not determine whether were minimizing or not
An affine restriction estimate in R3
We prove that the Fourier transform of an L4-3 function can be restricted to any compact convex C2 surface of revolution in R 3. © 2006 American Mathematical Society.Abi-Khuzam F, 2006, PUBL MAT, V50, P71; Aleksandrov A.D., 1939, UCHENYE ZAPISKI LENI, V6, P3; DOLZMANN G, 1995, ARCH MATH, V65, P352, DOI 10.1007-BF01195547; Hug D, 1996, MANUSCRIPTA MATH, V91, P283, DOI 10.1007-BF02567955; Ludwig M, 1999, ADV MATH, V147, P138, DOI 10.1006-aima.1999.1832; LUTWAK E, 1991, ADV MATH, V85, P39, DOI 10.1016-0001-8708(91)90049-D; Oberlin DM, 2001, P AM MATH SOC, V129, P3303, DOI 10.1090-S0002-9939-01-06012-9; Oberlin DM, 2004, P AM MATH SOC, V132, P3195, DOI 10.1090-S0002-9939-04-07610-5; Oberlin DM, 2004, P AM MATH SOC, V132, P1195, DOI 10.1090-S0002-9939-03-07289-7; SCHUTT C, 1993, P AM MATH SOC, V118, P1213, DOI 10.2307-2160080; SCHUTT C, 1990, MATH SCAND, V66, P275; SJOLIN P, 1974, STUD MATH, V51, P16977
Affine restriction for radial surfaces
Suppose dμ is affine surface measure on a convex radial surface Γ(x) = (x, γ ([pipe]x[pipe])), a ≤ [pipe]x[pipe] andlt; b, in ℝ3. Under appropriate smoothness and growth conditions on γ, we prove (L4-3(ℝ3), L4-3(dμ)) and (L4-3(ℝ3), L2(dμ)) Fourier restriction estimates for Γ. © Springer-Verlag 2008.Abi-Khuzam F, 2006, PUBL MAT, V50, P71; Aleksandrov A.D., 1939, UCHENYE ZAPISKI LENI, V6, P3; Carbery A, 2002, PUBL MAT, V46, P405; Carbery A, 2007, P AM MATH SOC, V135, P1905, DOI 10.1090-S0002-9939-07-08689-3; DOLZMANN G, 1995, ARCH MATH, V65, P352, DOI 10.1007-BF01195547; Federer H., 1996, GEOMETRIC MEASURE TH; GREENLEAF A, 1981, INDIANA U MATH J, V30, P519, DOI 10.1512-iumj.1981.30.30043; Hug D, 1996, MANUSCRIPTA MATH, V91, P283, DOI 10.1007-BF02567955; Iosevich A, 2000, CAN MATH BULL, V43, P63, DOI 10.4153-CMB-2000-009-7; Iosevich A, 1999, B UNIONE MAT ITAL, V2B, P383; Ludwig M, 1999, ADV MATH, V147, P138, DOI 10.1006-aima.1999.1832; LUTWAK E, 1991, ADV MATH, V85, P39, DOI 10.1016-0001-8708(91)90049-D; Oberlin DM, 2001, P AM MATH SOC, V129, P3303, DOI 10.1090-S0002-9939-01-06012-9; Oberlin DM, 1999, P AM MATH SOC, V127, P3591, DOI 10.1090-S0002-9939-99-05462-3; Oberlin DM, 2004, P AM MATH SOC, V132, P3195, DOI 10.1090-S0002-9939-04-07610-5; Oberlin DM, 2004, P AM MATH SOC, V132, P1195, DOI 10.1090-S0002-9939-03-07289-7; SCHUTT C, 1993, P AM MATH SOC, V118, P1213, DOI 10.2307-2160080; SCHUTT C, 1990, MATH SCAND, V66, P275; Shayya B, 2007, P AM MATH SOC, V135, P1107, DOI 10.1090-S0002-9939-06-08604-7; SJOLIN P, 1974, STUD MATH, V51, P169; Stein E., 1993, HARMONIC ANAL REAL V11
Corrigendum to: The Daugavet property for spaces of Lipschitz functions
Corrigendum to our paper The Daugavet property for spaces of Lipschitz functions, Math. Scand. 101 (2007), 261-279
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