Continuity and differentiability of Nemytskii operators on the Hardy space \(\mathcal H^{1,1}(\mathbf T^1)\)

DOI10.1007/BF02384563zbMath1078.47027MaRDI QIDQ1774803

John F. Toland

Publication date: 19 May 2005

Published in: Arkiv för Matematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

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• Every superposition operator mapping one Sobolev space into another is continuous
• Stokes waves in Hardy spaces and as distributions