## Function spaces, differential operators and nonlinear analysis |

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### Contents

B Gustafsson and J Peetre | 14 |

FUNCTION SPACES II | 74 |

Nikolova and L E Persson | 89 |

Copyright | |

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### Common terms and phrases

algebras Amer analysis anisotropic applications assume assumptions ball Banach function space Banach spaces Bol's lemma boundary value problems bounded classical coefficients compact complex consider constant continuous convex coordinate corner symbols Corollary corresponding defined denote Department of Mathematics derivatives Dirichlet problem domain elliptic operators entropy entropy numbers equivalent estimate EXAMPLE exists finite formula function f function spaces geometric given H Brezis Hankel operators Hardy inequality harmonic measure Hence Hilbert space holds imbedding inequality integral interpolation invariant Jordan curve kernel Kufner manifolds map f mappings of monotone Math Mflbius monotone type Nonlinear partial differential norm obtain Orlicz spaces partial differential equations Peetre polynomial projective structure proof properties Proposition proved REMARK respect retraction satisfies singular smooth Sobolev mappings Sobolev spaces subset theorem theory topology transform wave equation weight functions weighted Sobolev spaces zero