On the uniform convexity and uniform smoothness of infinite-order Sobolev spaces

DOI10.1134/S1064562407020263zbMath1173.46003MaRDI QIDQ960704

A. N. Agadzhanov

Publication date: 19 January 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Geometry and structure of normed linear spaces (46B20)

Related Items (3)

Fractal and infinitely differentiable functions in compactly supported control problems for hyperbolic distributed systems ⋮ Geometry of norms and inequalities in superreflexive Banach spaces ⋮ Banach spaces of fractal functions and trajectories of Brownian motions

Cites Work

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• Martingales with values in uniformly convex spaces
• Sobolev spaces of infinite order
• An almost nowhere Fréchet smooth norm on superreflexive spaces

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