On some Marcus problem concerning functions possessing the derivative at points of discontinuity only
F. Filipczak (1980)
Fundamenta Mathematicae
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F. Filipczak (1980)
Fundamenta Mathematicae
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Maurizio Chicco, Marina Venturino (1999)
Rendiconti del Seminario Matematico della Università di Padova
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Luc Tartar (1998)
Bollettino dell'Unione Matematica Italiana
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In questo articolo vengono date alcune varianti del teorema di immersione di Sobolev in spazi di Lorentz. In particolare si dimostra un teorema di immersione per spazi di Sobolev anisotropi supponendo che le derivate parziali appartengono a spazi di Lorentz diversi, anche nel caso limite, corrispondente all’estensione di Brezis-Wainger del teorema di Trudinger per .
Frank Mantlik (1991)
Studia Mathematica
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Z. Ditzian (1989)
Compositio Mathematica
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Anna Canale, Patrizia Di Gironimo, Antonio Vitolo (1998)
Studia Mathematica
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We introduce a sort of "local" Morrey spaces and show an existence and uniqueness theorem for the Dirichlet problem in unbounded domains for linear second order elliptic partial differential equations with principal coefficients "close" to functions having derivatives in such spaces.
Evgueni Doubtsov (1997)
Studia Mathematica
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Boundary values of zero-smooth Besov analytic functions in the unit ball of are investigated. Bounded Besov functions with prescribed lower semicontinuous modulus are constructed. Correction theorems for continuous Besov functions are proved. An approximation problem on great circles is studied.
Jarosław Kotowicz (1999)
Applicationes Mathematicae
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The relationship between the spectral properties of the transfer operator corresponding to a wavelet refinement equation and the -Sobolev regularity of solution for the equation is established.