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Found 74 Documents (Results 1–74)

An estimate of spherical approximations by local moduli of smoothness. (English. Russian original) Zbl 0866.41027

Russ. Acad. Sci., Dokl., Math. 50, No. 3, 516-520 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 339, No. 6, 739-742 (1994).
MSC:  41A65 41A50 46E99
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Description of functions from weighted Sobolev classes with zero traces on \(C^ 0\)-manifolds. (English. Russian original) Zbl 0876.46023

Russ. Acad. Sci., Dokl., Math. 50, No. 3, 500-506 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 339, No. 6, 727-731 (1994).
Reviewer: H.Triebel (Jena)
MSC:  46E35
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Smooth curves in measure spaces and shifts of differentiable measures along vector fields. (English. Russian original) Zbl 0926.46024

Russ. Acad. Sci., Dokl., Math. 50, No. 3, 476-481 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 339, No. 5, 584-587 (1994).
MSC:  46E27 46G05 46G12
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Fractional integrodifferentiation in Hölder classes of variable order. (English. Russian original) Zbl 0884.26006

Russ. Acad. Sci., Dokl., Math. 50, No. 3, 441-444 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 339, No. 4, 439-441 (1994).
MSC:  26A33 46E15 47G10
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Harmonic analysis in symmetric spaces of measurable operators. (English. Russian original) Zbl 0866.43004

Russ. Acad. Sci., Dokl., Math. 50, No. 3, 432-437 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 339, No. 3, 307-310 (1994).
Reviewer: Daniel Li (Orsay)
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The Kadets-Klee and local uniform convexity properties in interpolation spaces of the \(K\)-method. (English. Russian original) Zbl 0879.46002

Russ. Acad. Sci., Dokl., Math. 50, No. 2, 343-347 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 338, No. 6, 736-739 (1994).
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Two-weight estimates for multipliers, and imbedding theorems. (English. Russian original) Zbl 0837.42003

Russ. Acad. Sci., Dokl., Math. 49, No. 3, 515-519 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 4, 439-441 (1994).
Reviewer: P.Gurka (Praha)
MSC:  42B15 46E35
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Epimorphicity of a convolution operator in spaces of functions analytic on connected sets. (English. Russian original) Zbl 0877.47019

Russ. Acad. Sci., Dokl., Math. 49, No. 3, 501-506 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 3, 297-300 (1994).
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On convex compacta with prescribed extreme points. (English. Russian original) Zbl 0884.46009

Russ. Acad. Sci., Dokl., Math. 49, No. 3, 497-500 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 3, 295-296 (1994).
MSC:  46A55 52A07
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On approximation of periodic distributions in the Hausdorff metric. (English. Russian original) Zbl 0882.46020

Russ. Acad. Sci., Dokl., Math. 49, No. 3, 460-464 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 1, 25-28 (1994).
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Surjective isometries in Banach spaces of slowly growing holomorphic functions on a ball. (English. Russian original) Zbl 0834.46017

Russ. Acad. Sci., Dokl., Math. 49, No. 1, 206-209 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 334, No. 6, 702-704 (1994).
MSC:  46E15 46B04
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On solvability in \(W_ p^{2m+l}\) of a nonlinear Dirichlet problem in a narrow strip. (English. Russian original) Zbl 0833.35029

Russ. Acad. Sci., Dokl., Math. 49, No. 1, 179-182 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 334, No. 6, 683-685 (1994).
MSC:  35G30 35A05 46E35 35J65
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Series generated by Steklov functions. (English. Russian original) Zbl 0947.42019

Russ. Acad. Sci., Dokl., Math. 49, No. 1, 154-159 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 334, No. 5, 556-559 (1994).
MSC:  42C10 26D15 46E35
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On weighted Sobolev spaces and integral operators determined by quasi-elliptic equations. (English. Russian original) Zbl 0842.46016

Russ. Acad. Sci., Dokl., Math. 49, No. 1, 113-118 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 334, No. 4, 420-423 (1994).
MSC:  46E35 47G10 35J99
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Sublinear operators and Banach spaces with the weak \(\mathcal K\)-analytic topology. (English. Russian original) Zbl 0835.47040

Russ. Acad. Sci., Dokl., Math. 48, No. 3, 612-615 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 5, 582-584 (1993).
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On a condition for minimality of locally convex spaces in the solution of ill-posed problems. (English. Russian original) Zbl 0827.47009

Russ. Acad. Sci., Dokl., Math. 48, No. 3, 475-477 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 333, No. 2, 155-156 (1993).
MSC:  47A50 46A03 35R25
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Systems of convolution equations in convex domains in \(\mathbb{C}^ n\). (English. Russian original) Zbl 0822.46048

Russ. Acad. Sci., Dokl., Math. 48, No. 2, 304-307 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 332, No. 3, 289-290 (1993).
MSC:  46F15 44A35 32A22
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Strong summability of periodic functions and imbedding theorems. (English. Russian original) Zbl 0821.46038

Russ. Acad. Sci., Dokl., Math. 48, No. 2, 255-258 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 332, No. 2, 133-134 (1993).
MSC:  46E35 46M35 46B70 30D55 46J15
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The \(C^*\)-algebra generated by two-sided convolution operators on the Heisenberg group. (English. Russian original) Zbl 0819.46045

Russ. Acad. Sci., Dokl., Math. 48, No. 2, 225-230 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 332, No. 1, 8-11 (1993).
MSC:  46L05 44A35 22E25
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On two-sided estimates and exact values of certain capacities. (English. Russian original) Zbl 0949.41009

Russ. Acad. Sci., Dokl., Math. 48, No. 1, 192-194 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 331, No. 6, 672-673 (1993).
MSC:  41A27 46E35 31C15
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On approximation of functions on the sphere \(\sigma\). On the spaces \(B_{p,q}^ \alpha(\sigma)\). (English. Russian original) Zbl 0820.41028

Russ. Acad. Sci., Dokl., Math. 48, No. 1, 156-161 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 331, No. 5, 555-558 (1993).
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Imbeddings of Sobolev-Liouville spaces and Lizorkin-Triebel spaces on a domain. (English. Russian original) Zbl 0835.46024

Russ. Acad. Sci., Dokl., Math. 48, No. 1, 130-133 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 331, No. 5, 538-540 (1993).
Reviewer: A.Kufner (Praha)
MSC:  46E35
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The inverse image of any nonextreme value of almost every continuous function has the power of the continuum. (English. Russian original) Zbl 0822.26002

Russ. Acad. Sci., Dokl., Math. 48, No. 1, 14-16 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 331, No. 1, 14-16 (1993).
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A two-sided estimate of the minimal norm of the extension operator for Sobolev spaces. (English. Russian original) Zbl 0831.46024

Russ. Acad. Sci., Dokl., Math. 47, No. 3, 589-592 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 6, 680-682 (1993).
Reviewer: J.F.Toland (Bath)
MSC:  46E35 47A20
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On inequalities of Hardy type and their applications in the theory of quasielliptic equations. (English. Russian original) Zbl 0845.26007

Russ. Acad. Sci., Dokl., Math. 47, No. 3, 558-562 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 5, 542-545 (1993).
Reviewer: B.Opic (Praha)
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On the smoothness of a generalized solution of the Dirichlet variational problem for degenerate elliptic equations in a half-space. (English. Russian original) Zbl 0821.35024

Russ. Acad. Sci., Dokl., Math. 47, No. 3, 504-508 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 4, 420-423 (1993).
MSC:  35D10 35J70 46E35 35J35
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Stable fixed points of monotone operators. (English. Russian original) Zbl 0841.47029

Russ. Acad. Sci., Dokl., Math. 47, No. 3, 427-430 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 2, 155-157 (1993).
MSC:  47H07 47H10 46A40
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On the periodic problem for nonlinear “elliptic” equations with complex arguments. (English. Russian original) Zbl 0822.35010

Russ. Acad. Sci., Dokl., Math. 47, No. 3, 416-420 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 2, 148-150 (1993).
MSC:  35B10 35J60 46E35
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On estimates of convolutions in Nikol’skij-Besov spaces. (English. Russian original) Zbl 0836.46020

Russ. Acad. Sci., Dokl., Math. 47, No. 3, 362-365 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 330, No. 1, 9-11 (1993).
Reviewer: A.Kufner (Praha)
MSC:  46E35
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Inequalities of Hilbert and Hausdorff-Young-Riesz type in the system of eigenfunctions and associated functions of a differential operator of even order. (English. Russian original) Zbl 0827.47038

Russ. Acad. Sci., Dokl., Math. 47, No. 2, 329-332 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 5, 556-558 (1993).
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Homotopy classification of families of Noetherian singular operators with piecewise continuous coefficients on a composite contour. (English. Russian original) Zbl 0814.45006

Russ. Acad. Sci., Dokl., Math. 47, No. 2, 305-309 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 5, 540-542 (1993).
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On necessary conditions for systems of root functions of nonselfadjoint differential operators to form unconditional bases. (English. Russian original) Zbl 0813.34069

Russ. Acad. Sci., Dokl., Math. 47, No. 2, 257-261 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 4, 396-399 (1993).
MSC:  34L10 47E05 46B15
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Spectral analysis of nonselfadjoint operator-valued functions with continuous and point spectrum. (English. Russian original) Zbl 0832.47011

Russ. Acad. Sci., Dokl., Math. 47, No. 2, 174-178 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 329, No. 1, 9-11 (1993).
MSC:  47A56 47A10 46E40
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Structure of covariant dynamical semigroups. (English. Russian original) Zbl 0834.47039

Russ. Acad. Sci., Dokl., Math. 47, No. 1, 161-167 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 328, No. 6, 666-670 (1993).
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On weighted spaces of Hardy type. (English. Russian original) Zbl 0812.30019

Russ. Acad. Sci., Dokl., Math. 47, No. 1, 57-61 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 328, No. 3, 281-284 (1993).
MSC:  30H05 46E15 35J05
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The asymptotic behavior of the norms of truncates of functions in close function spaces. (English. Russian original) Zbl 0836.46015

Russ. Acad. Sci., Dokl., Math. 47, No. 1, 54-56 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 328, No. 3, 279-280 (1993).
Reviewer: A.Kufner (Praha)
MSC:  46E30
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When is the intersection of supports of an analytic functional a support? (English. Russian original) Zbl 0830.46035

Russ. Acad. Sci., Dokl., Math. 47, No. 1, 13-16 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 328, No. 1, 16-18 (1993).
MSC:  46F15 32D99
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On approximation of functions by convolution operators in the Hausdorff metric. (English. Russian original) Zbl 0798.46031

Russ. Acad. Sci., Dokl., Math. 46, No. 3, 439-442 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 327, No. 2, 187-190 (1992).
Reviewer: T.Leiger (Tartu)
MSC:  46F10 41A30 46E30
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The Fourier transform in an algebra of new generalized functions. (English. Russian original) Zbl 0813.46033

Russ. Acad. Sci., Dokl., Math. 46, No. 3, 414-417 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 327, No. 1, 20-24 (1992).
Reviewer: L.Janos (Praha)
MSC:  46F12 46F10
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On the solution of ill-posed problems in locally convex spaces. (English. Russian original) Zbl 0796.34042

Russ. Acad. Sci., Dokl., Math. 46, No. 2, 254-257 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 326, No. 2, 233-236 (1992).
MSC:  34G10 46A04 46A13
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Inequalities of Hardy type on cones in ideal spaces. (English. Russian original) Zbl 0801.26011

Russ. Acad. Sci., Dokl., Math. 46, No. 2, 236-239 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 326, No. 2, 215-218 (1992).
MSC:  26D15 42B30 46E30
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On sharp constants in inequalities between \(L_ \infty\)-norms of derivatives on a finite interval. (English. Russian original) Zbl 0798.41019

Russ. Acad. Sci., Dokl., Math. 46, No. 2, 231-235 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 326, No. 1, 50-53 (1992).
Reviewer: A.Kufner (Praha)
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Some properties of Lipschitz functions in the unit disc and in the unit ball. (English. Russian original) Zbl 0791.30045

Russ. Acad. Sci., Dokl., Math. 46, No. 2, 205-209 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 326, No. 1, 26-30 (1992).
Reviewer: N.M.Zobin (Haifa)
MSC:  30H05 46A45
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Interpolation (real method) of spaces of smooth functions with the space of bounded functions. (English. Russian original) Zbl 1041.46509

Russ. Acad. Sci., Dokl., Math. 46, No. 1, 178-181 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 325, No. 6, 1120-1123 (1992).
MSC:  46E35 46M35
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On generators in some rings of analytic functions. (English. Russian original) Zbl 0798.32016

Russ. Acad. Sci., Dokl., Math. 46, No. 1, 131-134 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 325, No. 5, 919-922 (1992).
Reviewer: R.M.Aron (Kent)
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Spectral properties of bounded solutions of linear functional- differential equations. (English. Russian original) Zbl 0798.35148

Russ. Acad. Sci., Dokl., Math. 46, No. 1, 74-78 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 325, No. 4, 649-653 (1992).
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On some imbedding theorems for Kreĭn-Pontryagin type spaces and their application to periodic problems. (English. Russian original) Zbl 1041.35502

Russ. Acad. Sci., Dokl., Math. 46, No. 1, 70-73 (1993); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 325, No. 3, 434-437 (1992).
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On characterization of fractional powers of the Beltrami-Laplace operator on the sphere with the help of fractional finite differences. (English. Russian original) Zbl 0821.46048

Russ. Acad. Sci., Dokl., Math. 45, No. 3, 670-675 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 324, No. 5, 938-943 (1992).
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An approximation approach to the inversion of generalized Riesz potentials. (English. Russian original) Zbl 0808.47026

Russ. Acad. Sci., Dokl., Math. 45, No. 3, 619-623 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 324, No. 4, 738-741 (1992).
MSC:  47B38 46E30 31B15
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On precise constants in Sobolev imbedding theorems. II. (English. Russian original) Zbl 0798.46021

Russ. Acad. Sci., Dokl., Math. 45, No. 3, 572-577 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 324, No. 3, 505-510 (1992).
MSC:  46E35 41A44
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On systems consisting of a finite and an infinite number of root functions of different boundary value problems. (English. Russian original) Zbl 0795.34074

Russ. Acad. Sci., Dokl., Math. 45, No. 2, 463-466 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 6, 1007-1011 (1992).
MSC:  34L10 46B15 42A20
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The unconditional basis property for systems of root vector-valued functions of differential operators with matrix coefficients. (English. Russian original) Zbl 0795.34073

Russ. Acad. Sci., Dokl., Math. 45, No. 2, 454-458 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 6, 999-1003 (1992).
MSC:  34L10 46B15
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A continuous linear right inverse for a representation operator, and conformal mappings. (English. Russian original) Zbl 0803.47005

Russ. Acad. Sci., Dokl., Math. 45, No. 2, 428-431 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 5, 826-829 (1992).
MSC:  47A05 46E10
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Bases of wavelets in spaces of differentiable functions of anisotropic smoothness. (English. Russian original) Zbl 0803.42022

Russ. Acad. Sci., Dokl., Math. 45, No. 2, 382-386 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 4, 615-618 (1992).
MSC:  42C40 46E35 46B15
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A description of analytic functionals in certain classes of domains. (English. Russian original) Zbl 0822.46050

Russ. Acad. Sci., Dokl., Math. 45, No. 2, 375-378 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 3, 423-426 (1992).
MSC:  46F15 46F12
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On Bernstein-Nikol’skij inequalities and widths of Sobolev function classes. (English. Russian original) Zbl 0797.46025

Russ. Acad. Sci., Dokl., Math. 45, No. 2, 272-275 (1992); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 323, No. 2, 202-205 (1992).
Reviewer: H.Triebel (Jena)
MSC:  46E35
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