ISSN 2079-6900 (Print) 
ISSN 2587-7496 (Online)

Middle Volga Mathematical Society Journal

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Continuation of the function of half of all space via its restriction to the boundary efootnote

G. A. Smolkin1

AnnotationConsider a continuous extension of the half-space, which is coincident with   trace partition function along the border. Produced estimates of the norms (Sobolev)   partition trace and continue through the norm of the function in the half. design   extension and its modifications can be used the study of a priori estimates in boundary value problems for degenerate up to the boundary of quasi-elliptic operators.
KeywordsFourier transformation,space S.L. Sobolev - L.N. Slobodetskii, pseudodifferential operators

1Associate professor of Applied Mathematics, Differential Equations and theoretical Mechanics Chair, Mordovian State University after N.P. Ogarev, Saransk

Citation: G. A. Smolkin, "[Continuation of the function of half of all space via its restriction to the boundary efootnote ]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,16:2 (2014) 98–103 (In Russian)