Convolution Kernels of 2D Fourier Multipliers Based on Real Analytic Functions |
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| Authors: | Michael Greenblatt |
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| Institution: | 1.Department of Mathematics, Statistics, and Computer Science,University of Illinois at Chicago, 322 Science and Engineering Offices,Chicago,USA |
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| Abstract: | In this paper, estimates are proven for convolution kernels associated to multipliers from a reasonably general class of compactly supported two-dimensional functions constructed out of real analytic functions. These estimates are both for overall decay rate and decay rate in specific directions. The estimates are sharp for a certain range of exponents appearing in the theorems. |
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