Cones of Functions with Monotonicity Conditions for Generalized Bessel and Riesz Potentials-Reference-Cited by-同舟云学术

Cones of Functions with Monotonicity Conditions for Generalized Bessel and Riesz Potentials

Published:2018-09 Issue:3-4 Volume:104 Page:348-363
ISSN:0001-4346
Container-title:Mathematical Notes
language:en
Short-container-title:Math Notes

Author:

Bokayev N. A.,Gol’dman M. L.,Karshygina G. Zh.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0001434618090043.pdf

Reference8 articles.

1. S. M. Nikol’skii, Approximation of Functions of Several Variables and Embedding Theorems (Nauka, Moscow, 1969) [in Russian].

2. E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Princeton Math. Ser., (Princeton Univ. Press, Princeton, NJ, 1970; Mir,Moscow, 1973).

3. S. G. Krein, Yu. I. Petunin, and E. M. Semenov, Interpolation of Linear Operators (Nauka, Moscow, 1978) [in Russian].

4. C. Bennett and R. C. Sharpley, InterpolationOperators, inPure Appl.Math. (Boston, MA,Academic Press, 1988), Vol. 129.

5. È. G. Bakhtigareeva and M. L. Gol’dman, “Construction of an optimal envelope for a cone of nonnegative functions with monotonicity properties,” in Trudy Mat. Inst. Steklova, Vol. 293: Function Spaces, Approximation Theory, and Related Problems of Mathematical Analysis (MAIK “Nauka/Interperiodica,” Moscow, 2016), pp. 43–61 [Proc. Steklov Inst.Math. 293, 37–55 (2016)].

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