Abstract This paper especially focuses on a general estimate, called(f-\mathcal M)^{k}, for the\bar \partial-Neumann problem {(f-\mathcal M)^{k}} \qquad \| f({\varLambda })\mathcal M u\|^{2}\le c(\|\bar \partial u\|^{2}+\|\bar \partial ^{*}u\|^{2}+\|u\|^{...
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