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Convolution with affine arclength measures in the plane

Author(s): Daniel M. Oberlin
Journal: Proc. Amer. Math. Soc. 127 (1999), 3591-3592.
MSC (1991): Primary 42B15
Posted: July 8, 1999
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Abstract | References | Similar articles | Additional information

Abstract: We obtain an estimate for the $L^{3/2,1}(\mathbb R^2)-L^3(\mathbb R^2)$ norm of a certain convolution operator.

References:

[C]: Y. Choi, Convolution operators with affine arclength measures on plane curves, J. Korean Math. Soc. 36 (1999), 193-207. CMP 99:09
[D]: S. W. Drury, Degenerate curves and harmonic analysis, Math. Proc. Camb. Phil. Soc. 108 (1990), 89-96. MR 91h:42021


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