Embedding theorems of funcitional classes, III

In this paper we obtain the necessary and sufficient conditions for embedding results of different function classes. The main result is a criterion for embedding theorems for the so-called generalized Weyl-Nikol'skii class and the generalized Lipschitz class. To define the Weyl-Nikol'skii class, we use the concept of a (λ,β)-derivative, which is a generalization of the derivative in the sense of Weyl. As corollaries, we give estimates of norms and moduli of smoothness of transformed Fourier series.

Embedding theorems of function classes, IV

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Embedding theorems of function classes, II

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Embedding theorems of function classes, I

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On moduli of smoothness of fractional order

In this paper we consider the properties of moduli of smoothness of fractional order. The main result of the paper describes the equivalence of the modulus of smoothness and a function from some class.

On Boas-Type Problem

R.P. Boas has found necessary and sufficient conditions of belonging of function to Lipschitz class. From his findings it turned out, that the conditions on sine and cosine coefficients for belonging of function to Lip α(0 & α & 1) are the same, but for Lip 1 are different. Later his results were generalized by many authors in the viewpoint of generalization of condition on the majorant of modulus of continuity. The aim of this paper is to obtain Boas-type theorems for generalized Lipschitz classes. To define generalized Lipschitz classes we use the concept of modulus of smoothness of fractional order.

Lower bounds for the number of limit cycles of trigonometric Abel equations

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Limit Cycles for a class of three dimensional polynomial differential systems

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On the upper bound of the number of limit cycles obtained by the second order averaging method I

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On the upper bound of the number of limit cycles obtained by the second order averaging method II

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On the critical periods of perturbed isochronous centers

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Norm inequalities in multidimensional Lorentz spaces

In this paper we obtain necessary and sufficient conditions for double trigonometric series to belong to generalized Lorentz spaces, not symmetric in general. Estimates for the norms are given in terms of coefficients.

Net spaces and boundedness of integral operators

In this paper we introduce new functional spaces which we call the net spaces. Using their properties, the necessary and sufficient conditions for the integral operators to be of strong or weak-type are obtained. The estimates of the norm of the convolution operator in weighted Lebesgue spaces are presented.

Convolution inequalities in Lorentz spaces

In this paper we study boundedness of the convolution operator in different Lorentz spaces. In particular, we obtain the limit case of the Young-O'Neil inequality in the classical Lorentz spaces. We also investigate the convolution operator in the weighted Lorentz spaces. Finally, norm inequalities for the potential operator are presented.

Reading Ng Kim Chew: Malaysian-Chineseness and memory in contemporary Malaysian Chinese literature in taiwan

The idea of Chineseness as a geographic, cultural-specific and ethnically-charged concept, and the pivotal role assumed by memory linger throughout the writings of most authors hailing from Chinese community in Southeast Asia. Among these communities, being the Malaysian Chinese the more prolific in terms of number of writers and pieces of literature produced, this paper deals specifically with it. Its focus is put on the literature produced by Malaysian Chinese authors residing in Taiwan, which topic constitutes an important part of the first chapter, and on one of its main representatives, Ng Kim Chew, to whom chapter two and three are fully dedicated. A literary analysis of one of his short stories, Huo yu tu, will allow the reader to have a first-hand experience, through excerpts from the original text, of the importance of Chineseness and memory in the literary production of Ng and of many authors sharing with him similar life and literary experiences. I started this research from the assumption that these authors make large use of their own memories and memories from their own community in their writing as a way to re-tie themselves to the Chineseness they left in their places of origin. However in the case of Ng Kim Chew, the analysis of his works led be to theorizing that the identity he is imbued with, if there is one, is not Chinese, nor Malaysian, but purely and distinctively Malaysian-Chinese. This paper can also serve as an introduction for the general public to the field of Sinophone literature from Southeast Asia and to promote wider and innovative paths of research within the realm of Chinese studies that go beyond China proper.