Uniform Lorentz norm estimates for convolution operators

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Uniform Lorentz norm estimates for convolution operators

Uniform endpoint Lorentz norm improving estimates for convolution operators with affine arclength measure supported on simple plane curves are established. The estimates hold for a wide class of simple curves, and the condition is stated in terms of averages of the square of the affine arclength weight, extending previously known results. MSC: Primary 44A35; secondary 42B35

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ژورنال

عنوان ژورنال: Journal of Inequalities and Applications

سال: 2014

ISSN: 1029-242X

DOI: 10.1186/1029-242x-2014-256