Radó’s theorem for locally solvable vector fields

Jorge Hounie, Joaquim Tavares

Type: Article

Publication Date: 1993-01-01

Citations: 6

DOI: https://doi.org/10.1090/s0002-9939-1993-1156468-5

Abstract

We extend the classical theorem of Radó, valid for the Cauchy-Riemann operator, to locally solvable first-order operators with smooth coefficients in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper R Superscript upper N"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="double-struck">R</mml:mi> </mml:mrow> <mml:mi>N</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{\mathbb {R}^N}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>.

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Proceedings of the American Mathematical Society - View - PDF

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