Sharp estimates for operatorbar partial _M on aq-concave CR manifoldon aq-concave CR manifold |
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Authors: | Peter L. Polyakov |
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Affiliation: | 1. Department of Mathematics, University of Wyoming, 82071, Laramie, WY
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Abstract: | We construct integral operatorsR r andH r on the spaces of differential forms of the type (o, r) withr <q on a regularq-concave CR manifoldM such that $$f(z) = bar partial _M R_r (f)(z) + R_{r + 1} (bar partial _M f)(z) + H_r (f)(z),$$ for a differential formf ∈ L (0,r) s (M) and forz ∈ M′ ?M, whereH r is compact andR r admits sharp estimates. |
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