Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840050 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 14 Pages |
Abstract
By a generalization of Fueter’s result, we establish the correspondence between the convolution operators and the Fourier multipliers on starlike Lipschitz surfaces. As applications, we obtain the Sobolev-boundedness of the Fourier multipliers and prove the equivalence between two classes of Hardy–Sobolev spaces on starlike Lipschitz surfaces.
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Authors
Pengtao Li, Tao Qian,