Proceedings of the Steklov Institute of Mathematics 1994; 260 pp; softcover Volume: 204 ISBN10: 0821802763 ISBN13: 9780821802762 List Price: US$229 Member Price: US$183.20 Order Code: STEKLO/204
 This book explores various topical trends in the theory of differentiable functions of several real variables and its applications. Among the subjects covered are: imbedding of various spaces of differentiable functions defined on sets in Euclidean space, on a sphere, and in a polydisc; approximation of functions; estimates for the norms of various integral operators in weighted space; conditions for stabilization of a function to a polynomial; sufficient conditions for multipliers; construction of unconditional bases in anisotropic spaces; existence of entire solutions for quasilinear equations; and establishment of an asymptotic formula for the kernels of powers of the resolvent of elliptic operators. Readership Research mathematicians. Table of Contents  E. I. Berezhnoĭ  Sharp estimates for operators on cones in ideal spaces
 M. Z. Berkolaĭko and I. Ya. Novikov  Unconditional bases in spaces of functions of anisotropic smoothness
 K. Kh. Boĭmatov  Asymptotic behavior of the Green function of parabolic equations and of the kernels of complex powers of the resolvent of elliptic operators
 V. I. Burenkov and V. A. Gusakov  On precise constants in Sobolev imbedding theorems. III
 V. I. Burenkov and M. Sh. Tuyakbaev  On Fourier integral multipliers in weighted \(L_{p}\)spaces with an exponential weight. II
 V. S. Guliev  Twoweighted inequalities for integral operators in \(L_p\)spaces, and their applications
 V. S. Guliev and P. I. Lizorkin  Classes of holomorphic and harmonic functions in the polydisk in connection with their boundary values
 G. A. Kalyabin  Pointwise multipliers in certain Sobolev spaces containing unbounded functions
 L. D. Kudryavtsev  On some inequalities for functions and their derivatives on an infinite interval
 P. I. Lizorkin and Kh. P. Rustamov  Nikol'skiĭBesov spaces on the sphere in connection with approximation theory
 S. M. Nikol'ski  More on approximation by entire functions of exponential type and by polynomials
 Yu. S. Nikol'ski  Imbedding theorems for anisotropic weighted spaces of differentiable functions on open sets
 R. Oĭarov  Twosided norm estimates for certain classes of integral operators
 S. I. Pokhozhaev  On entire radial solutions of quasilinear elliptic equations
 Kh. P. Rustamov  On equivalence of different moduli of smoothness on the sphere
