Displaying similar documents to “On simultaneous extension of infinitely differentiable functions”

The General Differential Operators Generated by a Quasi-Differential Expressions with their Interior Singular Points

El-sayed Ibrahim, Sobhy (1999)

Serdica Mathematical Journal

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The general ordinary quasi-differential expression M of n-th order with complex coefficients and its formal adjoint M + are considered over a regoin (a, b) on the real line, −∞ ≤ a < b ≤ ∞, on which the operator may have a finite number of singular points. By considering M over various subintervals on which singularities occur only at the ends, restrictions of the maximal operator generated by M in L2|w (a, b) which are regularly solvable with respect to the minimal operators T0...

Perfect sets of finite class without the extension property

A. Goncharov (1997)

Studia Mathematica

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We prove that generalized Cantor sets of class α, α ≠ 2 have the extension property iff α < 2. Thus belonging of a compact set K to some finite class α cannot be a characterization for the existence of an extension operator. The result has some interconnection with potential theory.