Search results

In the paper we extend some Hardy and Littlewood type inequalities on time scales for the function of n variables. Special cases of obtained results include generalized Wirtinger, Hardy and Littlewood type inequalities.

Paley's and Hardy's inequality are proved on a Hardy-type space for the Fourier–Dunkl expansions based on a complete orthonormal system of Dunkl kernels generalizing the classical exponential system defining the classical Fourier series.

Although the difficulties related to the Dunkl settings, the techniques used by K. Sato were still efficient in this case to establish the inequalities which have expected similarities with the classical case, and Hardy and Paley theorems for the Fourier–Bessel expansions due to the fact that the Bessel transform is the even part of the Dunkl transform.

Paley's inequality and Hardy's inequality are proved on a Hardy-type space for the Fourier–Dunkl expansions.

This work is a participation in extending the harmonic analysis associated with the Dunkl operators and it shows the utility of BMO spaces to establish some analytical results.

Dunkl theory is a generalization of Fourier analysis and special function theory related to root systems. Establishing Paley and Hardy's inequalities in these settings is a participation in extending the Dunkl harmonic analysis as it has many applications in mathematical physics and in the framework of vector valued extensions of multipliers.

For n ≥ 1, let Dn be the polydisk in ℂn, and let Tn be the n-torus. L2(Tn) denotes the space of Lebesgue square integrable functions on Tn. In this paper we define slant Toeplitz operators on L2(Tn). Besides giving a necessary and sufficient condition for an operator on L2(Tn) to be slant Toeplitz, we also establish several properties of slant Toeplitz operators.

Digital technologies, and the affordances they provide, can shape institutional processes in significant ways. In the last decade, social media and other digital platforms have redefined civic engagement by enabling new ways of connecting, collaborating, and mobilizing. In this article, we examine how technological affordances can both enable and hinder institutional processes through visibilization – which we define as the enactment of technological features to foreground and give voice to particular perspectives and discourses while silencing others. We study such dynamics by examining #SchauHin, an activist campaign initiated in Germany to shine a spotlight on experiences of daily racism. Our findings show how actors and counter-actors differentially leveraged the technological features of two digital platforms to shape the campaign. Our study has implications for understanding the role of digital technologies in institutional processes as well as the interplay between affordances and visibility in efforts to deinstitutionalize discriminatory practices and institutions.

Social relationships play an important role in organizational entrepreneurship. They are crucial to entrepreneurs’ decisions because, despite the bleeding-edge technological advancements observed nowadays, entrepreneurs as human beings will always strive to be social. During the COVID-19 pandemic many companies moved activities into the virtual world and as a result offline Social relationships became rarer, but as it turns out, even more valuable, likewise, the inter-organizational cooperation enabling many companies to survive.

This chapter aims to develop knowledge about entrepreneurs’ SR and their links with inter-organizational cooperation. The results of an integrative systematic literature review show that the concept of Social relationships, although often investigated, lacks a clear definition, conceptualization, and operationalization. This chapter revealed a great diversity of definitions for Social relationships, including different scopes of meaning and levels of analysis. The authors identify 10 building blocks and nine sources of entrepreneurs’ Social relationships. The authors offer an original typology of Social relationships using 12 criteria. Interestingly, with regard to building blocks, besides those frequently considered such as trust, reciprocity and commitment, the authors also point to others more rarely and narrowly discussed, such as gratitude, satisfaction and affection. Similarly, the authors discuss the varied scope of sources, including workplace, family/friendship, past relationships, and ethnic or religious bonds. The findings of this study point to a variety of links between Social relationships and inter-organizational cooperation, including their positive and negative influences on one another. These links appear to be extremely dynamic, bi-directional and highly complex.

Service research offering a view of both the dark and bright sides of smart technology remains scarce. This paper embraces a critical perspective and examines the conflicting outcomes of smart services on the customer experience (CX), with a specific focus on chatbots.

This study uses empirical research methods to examine a single case study where an online retail service provider implemented a chatbot for customer service. Using discourse analysis, we analysed 7,167 conversations between customers and the chatbot over a two-year period.

The analysis identifies seven general themes related to the effects of the chatbot on CX: interaction quality, information gathering, procedure literacy, task achievement, digital trust, shopping stress and shopping journey. We illuminate both positive (i.e. having a pleasant interaction, providing information, knowing procedures, improving tasks, increasing trust, reducing stress and completing the journey) and negative outcomes (i.e. having an unpleasant interaction, increasing confusion, ignoring procedures, worsening tasks, reducing trust, increasing stress and abandoning the journey).

The paper develops a comprehensive framework to offer a clearer view of chatbots as smart services in customer care. It delves into the conflicting effects of chatbots on CX by examining them through relational, cognitive, affective and behavioural dimensions.

Reality breakdowns generate reflexivity and awareness of the constructed nature of social reality. These pivotal moments can motivate institutional inhabitants to either modify their social worlds or reaffirm the status quo. Thus, reality breakdowns are the initial points at which actors can conceive of new possibilities for institutional arrangements and initiate change processes to realize them. Studying reality breakdowns enables scholars to understand not just how institutional change occurs, but also why it does or does not do so. In this paper, we investigate how institutional inhabitants responded to a reality breakdown that occurred during our ethnography of collegial governance in a large North American university that was undergoing a strategic change initiative. Our findings suggest that there is a consequential process following reality breakdowns whereby institutional inhabitants construct the severity of these events. In our context, institutional inhabitants first attempted to restore order to their social world by reaffirming the status quo; when their efforts failed, they began to formulate alternative possibilities. Simultaneously, they engaged in a distributed sensemaking process whereby they diminished and reoriented necessary changes, ultimately inhibiting the formulation of these new possibilities. Our findings confirm reality breakdowns and institutional awareness as potential drivers of institutional change and complicate our understanding of antecedent microprocesses that may forestall the initiation of change efforts.

In this work the author gathers several methods and techniques to construct systematically Stieltjes classes for densities defined on R+.

The author uses complex integration to obtain integrable functions with vanishing moments sequence, and then the author considers some operators defined on the vanishing moments subspace.

The author gather several methods and techniques to construct systematically Stieltjes classes for densities defined on R+. The author constructs explicitly Stieltjes classes with center at well-known probability densities. The author gives a lot of examples, including old cases and new ones.

The author computes the Hilbert transform of powers of |ln⁡x| to construct Stieltjes classes by using a recent result connecting the Krein condition and the Hilbert transform.

Digital technology education of children needs to be reconsidered. The purpose of this paper is to focus on empowering the young generation as regards digital technology. Digital technology education should reap the benefits of recent developments brought in by extensive, ongoing digitalization and prepare the young generation to manage and master in their technology rich future. The recent COVID 19 pandemic has made this particularly relevant and visible in the society. The young generation should adopt a proactive and critical stance toward digital technology and consider how design and technology can be used for making the world a better place.

This commentary reviews literature on the complex concept of empowerment and suggests a model on the aspects to be considered when aiming at empowering the young generation as regards digital technology in the context of digital technology education.

A model is proposed that comprehensively addresses empowerment of children as regards digital technology both at individual and collective levels and in mainstream sense as a relational and motivational construct as well as in critical sense in terms of collective empowerment, social responsibility and liberation of the oppressed.

Radical renewal in the children's education is needed in the digital age. This model outlines aspects to be considered in such a transformation. The insights should be valuable for research communities addressing the topic of children's education in the digital age in general or the topic of children's digital technology education in particular.

The model should also be of help for practitioners, i.e. teachers and facilitators working in informal learning spaces for developing children's digital education in practice.

The commentary addresses significant societal issues. It is actually not only children who should be empowered to engage in making and shaping our digital futures, but people in general. The model provides novel and valuable insights on what aspects to consider in such a significant endeavor.

The model proposed is novel and clearly needed in the research addressing this topic.