Solutions to -equations on strongly pseudo-convex domains with -estimates.

Abdelkader, Osama; Khidr, Shaban

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Displaying similar documents to “Solutions to $\bar{\partial}$ -equations on strongly pseudo-convex domains with $L^{p}$ -estimates.”

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The proof of the Nirenberg-Treves conjecture

Nils Dencker (2003)

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We prove the Nirenberg-Treves conjecture : that for principal type pseudo-differential operators local solvability is equivalent to condition ( $Ψ$ ). This condition rules out certain sign changes of the imaginary part of the principal symbol along the bicharacteristics of the real part. We obtain local solvability by proving a localizable estimate for the adjoint operator with a loss of two derivatives (compared with the elliptic case). The proof involves a new metric in the Weyl (or Beals-Fefferman)...

Transfer of Estimates from Convex to Strongly Pseudoconvex Domains in $ℂ^{N}$

Adib Fadlalla (1996)

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In this article, estimates of the hyperbolic and Carathéodory distances in domains $G \subset \subset ℂ^{n}$ , n ≥ 1, are obtained. They are equally valid for the Kobayashi distance.

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The Gleason problem for $𝔸^{k} (Ω)$ , $ℍ^{k} (Ω)$ , ${Lip}_{k = ε} (Ω)$ .

Kot, Piotr (2002)

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W. Królikowski (1991)

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The concept of supercomplex structure is introduced in the pseudo-Euclidean Hurwitz pairs and its basic algebraic and geometric properties are described, e.g. a necessary and sufficient condition for the existence of such a structure is found.

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Plurisubharmonic saddles

Siegfried Momm (1996)

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A certain linear growth of the pluricomplex Green function of a bounded convex domain of $ℂ^{N}$ at a given boundary point is related to the existence of a certain plurisubharmonic function called a “plurisubharmonic saddle”. In view of classical results on the existence of angular derivatives of conformal mappings, for the case of a single complex variable, this allows us to deduce a criterion for the existence of subharmonic saddles.

On positive solutions for a class of strongly coupled $p$ -Laplacian systems.

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Displaying similar documents to “Solutions to ∂ ¯ -equations on strongly pseudo-convex domains with L p -estimates.”

Displaying similar documents to “Solutions to $\bar{\partial}$ -equations on strongly pseudo-convex domains with $L^{p}$ -estimates.”