Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Uspenskii, S.V., "On imbedding theorems for weight classes". Trudy Steklov Math. Institute, 1961, vol. 60, 282–303.
Kudryavtsev, L.D. "On traces of functions of many variables and fields of directions regular at infinity for Laplace operator". Trudy Steklov Math. Institute, 1971, vol.112, 256–270.
Nikol'skii, S.M. "Approximation of functions of many variables and imbedding theorems". 1969. Moscow.
Kudryavtsev, L.D. "On polynomial traces and on modules of smoothness of functions of many variables". Trudy Steklov Math. Inst. 1972, vol. 117, 180–211.
Kudryavtsev, L.D. "On parametric inequalities for functions of several variables". Doklady Akademii Nauk SSSR. 1972, vol.202, No.6, 1261–1264.
English transl. Soviet Math. Dokl. vol. 13 (1972), No.1, 276–280.
Sobolev, S.L. "Some applications of functional analysis to mathematical physics". 1950, Leningrad.
Uspenskii, S.V. "A theorem of imbedding and extension for a class of functions, II". Siberian Mathem. Journal. 1966, vol.8, No.2, 409–418.
Sobolev, S.V. "Density of finite functions in the space L (m)p (En)". Siberian Mathem. Journal. 1963, vol.4, No.3, 673–682.
Sedov, V.N. "On functions degenerating into polynomial at infinity". In the book "Imbedding theorems and their applications". Moscow. 1970, 204–211.
Kudryavtsev, L.D. "Direct and inverse imbedding theorems. Applications to the solution of elliptic equations by variational methods". Trudy Steklov Mathem. Inst., 1959, vol.55.
Editor information
Rights and permissions
Copyright information
© 1974 Springer-Verlag Berlin · Heidelberg
About this paper
Cite this paper
Kudryavtsev, L.D. (1974). On properties of traces of functions belonging to weight spaces. In: Garnir, H.G., Unni, K.R., Williamson, J.H. (eds) Functional Analysis and its Applications. Lecture Notes in Mathematics, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063586
Download citation
DOI: https://doi.org/10.1007/BFb0063586
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06869-3
Online ISBN: 978-3-540-37827-3
eBook Packages: Springer Book Archive