We study the tangential Cauchy-Riemann equations ∂̄bu = ω for (0,q)-forms on quadratic CR manifolds. We discuss solvability for data ω in the Schwartz class and describe the range of the tangential Cauchy-Riemann operator in terms of the signatures of the scalar components of the Levi form.
Tangential Cauchy-Riemann equations on quadratic CR manifolds / M.M. Peloso, F. Ricci. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. SCIENZE FISICHE E NATURALI. - ISSN 1720-0776. - 13:3-4(2002), pp. 285-294.
Tangential Cauchy-Riemann equations on quadratic CR manifolds
M.M. Peloso
;
2002
Abstract
We study the tangential Cauchy-Riemann equations ∂̄bu = ω for (0,q)-forms on quadratic CR manifolds. We discuss solvability for data ω in the Schwartz class and describe the range of the tangential Cauchy-Riemann operator in terms of the signatures of the scalar components of the Levi form.
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