Boundary value estimates for harmonic forms

T. Iwaniec; M. Mitrea; C. Scott

doi:10.1090/s0002-9939-96-03142-5

Boundary value estimates for harmonic forms

T. Iwaniec, M. Mitrea, C. Scott

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We prove a bound for the L²-norm of harmonic forms in terms of certain L^p-norms of their normal and tangential components. In turn, this is used to show the L²-norm equivalence of the normal and tangential components of harmonic forms on manifolds.

Original language	English (US)
Pages (from-to)	1467-1471
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	124
Issue number	5
DOIs	https://doi.org/10.1090/s0002-9939-96-03142-5
State	Published - 1996

Keywords

Differential form
Harmonic form
L-norm

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/s0002-9939-96-03142-5

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title = "Boundary value estimates for harmonic forms",

abstract = "We prove a bound for the L2-norm of harmonic forms in terms of certain Lp-norms of their normal and tangential components. In turn, this is used to show the L2-norm equivalence of the normal and tangential components of harmonic forms on manifolds.",

keywords = "Differential form, Harmonic form, L-norm",

author = "T. Iwaniec and M. Mitrea and C. Scott",

year = "1996",

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T1 - Boundary value estimates for harmonic forms

AU - Iwaniec, T.

AU - Mitrea, M.

AU - Scott, C.

PY - 1996

Y1 - 1996

N2 - We prove a bound for the L2-norm of harmonic forms in terms of certain Lp-norms of their normal and tangential components. In turn, this is used to show the L2-norm equivalence of the normal and tangential components of harmonic forms on manifolds.

AB - We prove a bound for the L2-norm of harmonic forms in terms of certain Lp-norms of their normal and tangential components. In turn, this is used to show the L2-norm equivalence of the normal and tangential components of harmonic forms on manifolds.

KW - Differential form

KW - Harmonic form

KW - L-norm

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EP - 1471

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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Boundary value estimates for harmonic forms

Abstract

Keywords

ASJC Scopus subject areas

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