1,239 research outputs found

    Corrections to ''Minimal piecewise linear cones in R4\mathbb{R}^4'' (Math. Scand. 130 (2024), 149--160)

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    The paper “Minimal piecewise linear cones in R4\mathbb {R}^4” (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 R4\mathbb {R}^4 to a classification of five minimizers and two candidates that we could not determine whether were minimizing or not

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    An affine restriction estimate in R3

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    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

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    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

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    Corrigendum to our paper The Daugavet property for spaces of Lipschitz functions, Math. Scand. 101 (2007), 261-279

    An inequality for Hilbert series of graded algebras

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    A note on a paper by Miyazaki

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    A study of graded extremal rings and of monomial rings

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