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Boundary value estimates for harmonic forms |
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| Authors: | T Iwaniec M Mitrea C Scott |
| Institution: | Department of Mathematics, Syracuse University, Syracuse, New York 13244 ; School of Mathematics, University of Minnesota, 127 Vincent Hall, 206 Church Street S.E., Minneapolis, Minnesota 55455 ; Department of Mathematics, University of Wisconsin, 334 Sundquist Hall, Superior, Wisconsin 54880 |
| Abstract: | We prove a bound for the  -norm of harmonic forms in terms of certain  -norms of their normal and tangential components. In turn, this is used to show the  -norm equivalence of the normal and tangential components of harmonic forms on manifolds. |
| Keywords: | Harmonic form differential form $\mathcal L^p$-norm |
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