摘要:

AbstractWe construct local formulas of Martinelli ‐ Bochner ‐ Koppelman type onq‐ concave genericCR‐ manifolds. We apply these results to study the tangentiel Cauchy–Riemann equations and the Hartogs ‐ Bochner phenomenon on suc

ISSN:0025-584X    

DOI:10.1002/mana.19981960102

出版商:WILEY‐VCH Verlag    

年代:1998

数据来源: WILEY

摘要:

AbstractIn this paper, we are concerned with the following eigenvalue problem: here Ω is aC1,α‐domain and Δpis the degeneratep‐Laplace operator withp>1. An interesting special case is whenf= π(χ)|u|σ1−1u+ϕ(χ)|u|σ−1u, 0

ISSN:0025-584X    

DOI:10.1002/mana.19981960103

出版商:WILEY‐VCH Verlag    

年代:1998

数据来源: WILEY

摘要:

AbstractA submanifoldMnof a Euclidean space Emis said to have harmonic mean curvature vector field if ΔH, whereHdenotes the mean curvature vector. B.‐Y. Chen conjectured that the only submanifolds of Euclidean spaces with harmonic mean curvature vector field, are the minimal ones. In this paper, we give a proof of the theorem that every hypersurface of E4with harmonic mean curvature vector field is minimal. The method gives insight in the role of the principal curvatur

ISSN:0025-584X    

DOI:10.1002/mana.19981960104

出版商:WILEY‐VCH Verlag    

年代:1998

数据来源: WILEY

摘要:

AbstractIn this paper factorization results for transfer functions of Pritchard–Salamon systems are obtained. In particular, transfer functions sufficiently close to the identity operator are shown to have a canonical Wiener–Hopf factorization. Moreover, the Bounded Real Lemma is generalized to Pritchard–Salamon systems and applied to relate left and right canonical Wiener–Hopf factorizations of their transfer fu

ISSN:0025-584X    

DOI:10.1002/mana.19981960105

出版商:WILEY‐VCH Verlag    

年代:1998

数据来源: WILEY

ISSN:0025-584X    

DOI:10.1002/mana.19981960106

出版商:WILEY‐VCH Verlag    

年代:1998

数据来源: WILEY

摘要:

AbstractLetXbe a compact manifold with boundary. It will be shown (Theorem 3.4) that the small Melrose algebraA≔ ϕb,cl(χ,bΩ1/2) (cf. [22], [23]) of classical, totally characteristic pseudodifferential operators carries no topology such that it is a topological algebra with an open group of invertible elements, in particular, the algebraAcannot be spectrally invariant in anyC* – algebra. On the other hand, the symbolic structure ofAcan be extended continuously to theC* – algebraBgenerated byAas a subalgebra of ζ(σbL2(χ,bΩ1/2)) by a generalization of a method of Gohberg and Krupnik. Furthermore,Ais densely embedded in a Fréchet algebraA⊆Bwhich is a ϕ* – algebra in the sense of Gramsch [9, Definition 5.1], reflecting also smooth properties of the

ISSN:0025-584X    

DOI:10.1002/mana.19981960107

出版商:WILEY‐VCH Verlag    

年代:1998

数据来源: WILEY

摘要:

AbstractNew reconstruction formula for the line integral transformation in Euclidean spaces is found. The generalk‐plane integral transform in Euclidean space is related to a totally geodesic integral transform for an arbitrary Riemannian space of constant curvature by means of a factorization property. Duality theorems for the totally geodesic transforms are state

ISSN:0025-584X    

DOI:10.1002/mana.19981960108

出版商:WILEY‐VCH Verlag    

年代:1998

数据来源: WILEY

摘要:

In der Arbeit wird bewiesen, daß die lokalen isotropen Automorphismen einer streng pseudokonvexen, reell–analytischen, nicht–semiquadratischen CR–MannigfaltigkeitMder Kodimension 2 im C4in geeigneten Koordinaten sämtlich linear sind. Dabei können diese Koordinaten so gewählt werden, daß die Gleichung vonMNormalform im Sinne von Chern–Moser–Loboda annimmt. Es wird gezeigt, daß die Dimension der Gruppe, die von solchen Automorphismen gebildet wird, höchstens gleich 3 ist. Es werden Beispiele von Mannigfaltigkeiten angegeben, deren Isotropie‐gruppen die möglichen Dimension

ISSN:0025-584X    

DOI:10.1002/mana.19981960109

出版商:WILEY‐VCH Verlag    

年代:1998

数据来源: WILEY

摘要:

AbstractThis paper is a continuation of [8]. We study weighted function spaces of typeB pq3andF pq3on the Euclidean space Rn, whereuis a weight function of at most exponential growth. In particular,u(χ (±|χ|) is an admissible weight. We deal with atomic decompositions of these spaces. Furthermore, we prove that the spacesB pq3andF pq3are isomorphic to the corresponding unweighted spacesB

ISSN:0025-584X    

DOI:10.1002/mana.19981960110

出版商:WILEY‐VCH Verlag    

年代:1998

数据来源: WILEY

摘要:

AbstractConsider a generic vector bundleEof given rank and degree. Consider the subscheme of the Jacobian of line bundlesLsuch thatE⊗Lhas a section. We show that the singular locus of this subscheme consists of all line bundles such thatE⊗Lhas at least two secti

ISSN:0025-584X    

DOI:10.1002/mana.19981960111

出版商:WILEY‐VCH Verlag    

年代:1998

数据来源: WILEY