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Compactness of the \overline∂-Neumann operator

Compactness of the \overline∂-Neumann operator

This paper gives an elementary construction of smooth, bounded pseudoconvex domains which satisfy Condition <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper R"> <mml:semantics> <mml:mi>R</mml:mi> <mml:annotation encoding="application/x-tex">R</mml:annotation> </mml:semantics> </mml:math> </inline-formula> but which do not have compact <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="ModifyingAbove partial-differential With bar"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mover> <mml:mi mathvariant="normal">∂<!-- ∂ --></mml:mi> <mml:mo …