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Publications Influence

Nikolskii inequality and Besov, Triebel-Lizorkin, Wiener and Beurling spaces on compact homogeneous manifolds

- E. Nursultanov, Michael Ruzhansky, S. Tikhonov
- Mathematics
- 13 March 2014

In this paper we prove Nikolskii's inequality on general compact Lie groups and on compact homogeneous spaces with the constant interpreted in terms of the eigenvalue counting function of the… Expand

31 3- PDF

A Sharp Remez Inequality for Trigonometric Polynomials

- E. Nursultanov, S. Tikhonov
- Mathematics
- 1 August 2013

AbstractWe obtain a sharp Remez inequality for the trigonometric polynomial Tn of degree n on [0,2π):
$$\|T_n \|_{L_\infty([0,2\pi))} \le \biggl(1+2\tan^2 \frac{n\beta}{4m} \biggr) { \|T_n… Expand

25 1- PDF

Convolution Inequalities in Lorentz Spaces

- E. Nursultanov, S. Tikhonov
- Mathematics
- 1 June 2011

In this paper we study boundedness of the convolution operator in different Lorentz spaces. We obtain the limit case of the Young-O’Neil inequality in the classical Lorentz spaces. We also… Expand

17 1- PDF

Nikolskii inequality and functional classes on compact lie groups

- E. Nursultanov, M. Ruzhansky, S. Tikhonov
- Mathematics
- 25 July 2015

In this note we study the Besov, Triebel—Lizorkin, Wiener, and Beurling function spaces on compact Lie groups. A major role in the analysis is played by the Nikolskii inequality.

16 1- PDF

Weighted Norm Inequalities for Convolution and Riesz Potential

- E. Nursultanov, S. Tikhonov
- Mathematics
- 30 June 2013

In this paper, we prove analogues of O’Neil’s inequalities for the convolution in the weighted Lebesgue spaces. We also establish the weighted two-sided norm inequalities for the potential operator.

11 1- PDF

Hardy–Littlewood–Paley-type inequalities on compact Lie groups

- R. Akylzhanov, E. Nursultanov, Michael Ruzhansky
- Mathematics
- 1 July 2016

8 1

Norm inequalities for convolution operators

- E. Nursultanov, S. Tikhonov, N. Tleukhanova
- Mathematics
- 1 December 2009

Abstract We study norm convolution inequalities in Lebesgue and Lorentz spaces. First, we improve the well-known O'Neil's inequality for the convolution operators and prove corresponding estimate… Expand

4- PDF

Description of interpolation spaces for local Morrey-type spaces

- V. Burenkov, E. Nursultanov
- Mathematics
- 9 September 2010

We consider the real interpolation method and prove that for local Morrey spaces, in the case when they have the same integrability parameter, the interpolation spaces are again local Morrey-type… Expand

27- PDF

On the coefficients of multiple Fourier series in L_p-spaces

- E. Nursultanov
- Mathematics
- 28 February 2000

In this paper we use new function spaces and interpolation methods to study the dependence of the properties of summable multiple Fourier series on their coefficients. We obtain theorems for multiple… Expand

20

Approximate computation of integrals for functions in $ W_p^\alpha \lbrack 0,1 \rbrack ^n$

- E. Nursultanov, N. Tleukhanova
- Mathematics
- 31 December 2000

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