P. Polyakov

activity

20002005

most citedOn a boundary value problem in subsonic aeroelasticity and the cofinite Hilbert transform

2 citations · 2 across the 2 of their papers we have counts for

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3 papers · 1 filter

math.CV2001

Versal embeddings of compact, regular 3-pseudoconcave CR submanifolds

Peter Polyakov

We prove that for an induced CR structure on a compact, generic, regular 3-pseudoconcave CR submanifold $M \subset G$ , of a complex manifold $G$ , satisfying c…

math.CV2001

Global $\partial ˉ_{M}$ -homotopy with $C^{k}$ estimates for a family of compact, regular q-pseudoconcave CR manifolds

Peter Polyakov

Let $M_{0}$ be a compact, regular q-pseudoconcave compact CR submanifold of a complex manifold $G$ and $B$ - a holomorphic vector bundle on $G$ such th…

math.CV2000

Sharp Lipschitz estimates for operator $\partial ˉ_{M}$ on a q-pseudoconcave CR manifold

Peter Polyakov

We construct integral homotopy operators on a regular CR manifold and prove sharp estimates for these operators in a special Lipschitz scale.

Versal embeddings of compact, regular 3-pseudoconcave CR submanifolds

Global ∂ˉM​-homotopy with Ck estimates for a family of compact, regular q-pseudoconcave CR manifolds

Sharp Lipschitz estimates for operator ∂ˉM​ on a q-pseudoconcave CR manifold

Global $\partial ˉ_{M}$ -homotopy with $C^{k}$ estimates for a family of compact, regular q-pseudoconcave CR manifolds

Sharp Lipschitz estimates for operator $\partial ˉ_{M}$ on a q-pseudoconcave CR manifold