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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

1984, Volume 170

| General information | Contents |


Investigations in the theory of differentiable functions of many variables and its applications. Part 10


Collection of articles

An analogue of the first boundary value problem for elliptic equations with degeneration. The method of bilinear forms
B. L. Baĭdel'dinov
3
Integral representations of functions and embedding theorems for a domain with a flexible horn condition
O. V. Besov
12
The Littlewood–Paley theorem for a mixed norm
O. V. Besov
31
Separability theorems, weighted spaces and their applications
K. Kh. Boimatov
37
Linear means of Fourier series and integrals and the rate of their convergence
Ya. S. Bugrov
77
Imbedding theorems for anisotropic Nikol'skii–Besov spaces with moduli of continuity of a general type
M. L. Gol'dman
86
Weak solutions of the Dirichlet problem for a quasilinear equation with lower-order terms
G. G. Kazaryan
105
Lower bound of the Lebesgue function of linear means of Fourier–Jacobi series
S. G. Kal'nei
113
Solution of semielliptic equations in a half space
G. A. Karapetyan
119
The Cauchy problem for the Euler–Poisson–Darboux equation in a homogeneous symmetric Riemann space. I
I. A. Kipriyanov, L. A. Ivanov
139
Differential properties of the symbol of the singular integral Calderón–Zygmund operator
V. S. Kryuchkov
148
Equivalent norms in weighted spaces
L. D. Kudryavtsev
161
Approximation of functions by entire functions of exponential type and embedding theorems in a mixed norm
N. L. Kudryavtsev
191
On the question of the density of infinitely differentiable functions in Besov spaces
Yu. V. Kuznetsov
203
Estimates of approximate numbers of the imbedding operators for spaces of Sobolev type with weights
P. I. Lizorkin, M. O. Otelbaev
213
Integral estimates for differentiable functions on unbounded domains
Yu. S. Nikol'skii
233
Continuation of functions from anisotropic Sobolev spaces
B. L. Fain
248


© Steklov Math. Inst. of RAS, 2025