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Let M be a C∞ compact CR manifold of CR-codimension l≥1 and CR-dimension n-l in a complex manifold X of complex dimension n≥3. In this paper, assuming that M satisfies condition Y(s) for some s with 1≤s≤n-l-1, we prove an L2-existence theorem and global regularity for the solutions of the tangential Cauchy-Riemann equation for (0,s)-forms on M

abstract and applied analysis

Global Regularity for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:msub><mml:mrow><mml:mover accent="true"><mml:mrow><mml:mo>∂</mml:mo></mml:mrow><mml:mo>-</mml:mo></mml:mover></mml:mrow><mml:mrow><mml:mi>b</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>-Equation on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mi>C</mml:mi><mml:mi>R</mml:mi></mml:math>Manifolds of Arbitrary Codimension

Global Regularity for the∂-b-Equation onCRManifolds of Arbitrary Codimension