scholarly journals On two-weight inequalities for Hausdorff operators of special kind in Lebesgue spaces

Author(s):  
Rovshan BANDALİYEV ◽  
Kamala HASANOVA
2020 ◽  
Vol 32 (1) ◽  
pp. 111-119 ◽  
Author(s):  
Adolf R. Mirotin

AbstractHausdorff operators originated from some classical summation methods. Now this is an active research field. In the present article, a spectral representation for multidimensional normal Hausdorff operator is given. We show that normal Hausdorff operator in {L^{2}(\mathbb{R}^{n})} is unitary equivalent to the operator of multiplication by some matrix-valued function (its matrix symbol) in the space {L^{2}(\mathbb{R}^{n};\mathbb{C}^{2^{n}})}. Several corollaries that show that properties of a Hausdorff operator are closely related to the properties of its symbol are considered. In particular, the norm and the spectrum of such operators are described in terms of the symbol.


2020 ◽  
Vol 2020 ◽  
pp. 1-7
Author(s):  
Radouan Daher ◽  
Faouaz Saadi

In the present paper, we introduce the multidimensional Dunkl-Hausdorff operator ℋκ and we give simple sufficient conditions so that these operators be bounded on the weighted lebesgue spaces Lκpℝn and in the Hardy space Hκ1ℝn associated with the Dunkl operators. We also determine the Dunkl-Hausdorff operator ℋκ∗ that is adjoint to ℋκ.


2018 ◽  
Vol 61 (9) ◽  
pp. 1647-1664 ◽  
Author(s):  
Jiecheng Chen ◽  
Jiawei Dai ◽  
Dashan Fan ◽  
Xiangrong Zhu

2010 ◽  
pp. 439-450
Author(s):  
Marta Janczewska

Research team of physicians and lab technicians under Izrael Milejkowski’s direction undertook the effort to carry out a series of clinical and biochemical experiments on patients dying of starvation in the Warsaw ghetto so as to receive the fullest possible picture of hunger disease. The research was carried out according to all the rigors of strict scientific discipline, and the authors during their work on academic articles, published it after the war entitled: „Starvation disease: hunger research carried out in the Warsaw ghetto in 1942,” according to their own words, they “supplemented the gap in accordance with the progress of knowledge.” The article is devoted to the reflections over ethical dilemmas of the research team, who were forced in their work to perform numerous medical treatments of experimental nature on extremely exhausted patients. The ill, according to Dr Fajgenblat’s words,“demonstrated negativism toward the research and treatment, which extremely hindered the work, and sometimes even frustrated it.” The article attempts to look at the monumental research work of the Warsaw ghetto doctors as a special kind of response of the medical profession to the feeling of helplessness to the dying patients. The article analyzes the situation of Warsaw ghetto doctors, who undertook the research without support of any outer authority, which could settle their possible ethical dilemmas (Polish deontological codes, European discussions on the conditions of the admissibility of medical research on patients, etc.).


2002 ◽  
Vol 4 (1) ◽  
pp. 31-43
Author(s):  
Sophie de Mijolla-Mellor

This paper deals with the evolution of the psychoanalytic practice with psychotic patients beginning with Freud's scepticism about the transference capacities of those patients to a new definition of a special kind of psychotic transference. The main hypothesis is that the actual case of psychotics within a psychoanalytic cure has modified the psychoanalytic method itself, even in the field of neuroses. Within the framework and, more specifically, in the case of schizophrenics, this paper develops some reflections on the evolution of the three following concepts: transference/countertransference, communication and interpretation, and reality.


Fachsprache ◽  
2019 ◽  
Vol 41 (S1) ◽  
pp. 87-100
Author(s):  
Wenke Mückel

Metaphorical elements are a highly productive language means in live reports about sport events on TV. They occur in different relations to what is simultaneously seen on screen and depend on the reporter as well as on the special kind of sport. But nevertheless, general structures and functions of metaphors in those medium-bound oral texts can be indicated; as one of the markers they contribute to what is often called language of sport or maybe rather communicative template of sport. Examples taken from TV reports of the European Football Championship and the Olympic Games (both took place in 2016) are used to illustrate this character of metaphorical expressions in sport reports on TV.


Sign in / Sign up

Export Citation Format

Share Document