scholarly journals A Survey on Function Spaces of John–Nirenberg Type

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2264
Author(s):  
Jin Tao ◽  
Dachun Yang ◽  
Wen Yuan
Keyword(s):  
Systematic Review ◽  
Function Spaces ◽  
Side Length ◽  
Open Questions ◽  
Recent Developments

In this systematic review, the authors give a survey on the recent developments of both the John–Nirenberg space JNp and the space BMO as well as their vanishing subspaces such as VMO, XMO, CMO, VJNp, and CJNp on Rn or a given cube Q0⊂Rn with finite side length. In addition, some related open questions are also presented.

scholarly journals Continuity envelopes of spaces of generalised smoothness: a limiting case; embeddings and approximation numbers

2005 ◽  
Vol 3 (1) ◽  
pp. 33-71 ◽  
Author(s):  
António M. Caetano ◽  
Dorothee D. Haroske
Keyword(s):  
Asymptotic Behaviour ◽  
Function Spaces ◽  
Approximation Numbers ◽  
Local Growth ◽  
Recent Developments ◽  
Limiting Case ◽  
Growth Envelopes

Continuity envelopes for the spaces of generalised smoothnessBpq(s,Ψ)(ℝn)andFpq(s,Ψ)(ℝn)are studied in the so-called supercriticals=1+n/p, paralleling recent developments for a corresponding limiting case for local growth envelopes of spaces of such a type. In addition, the power of the concept is used in proving conditions for some embeddings between function spaces to hold, as well as in the study of the asymptotic behaviour of approximation numbers of related embeddings.

scholarly journals Recent developments on the Stieltjes transform of generalized functions

1987 ◽  
Vol 10 (4) ◽  
pp. 641-670 ◽  
Author(s):  
Ram Sankar Pathak ◽  
Lokenath Debnath
Keyword(s):  
Final Section ◽  
Generalized Functions ◽  
Stieltjes Transform ◽  
Poisson Transform ◽  
Open Questions ◽  
The Laplace Transform ◽  
Recent Developments ◽  
The Subject ◽  
Abelian Theorems ◽  
Stieltjes Transforms

This paper is concerned with recent developments on the Stieltjes transform of generalized functions. Sections 1 and 2 give a very brief introduction to the subject and the Stieltjes transform of ordinary functions with an emphasis to the inversion theorems. The Stieltjes transform of generalized functions is described in section 3 with a special attention to the inversion theorems of this transform. Sections 4 and 5 deal with the adjoint and kernel methods used for the development of the Stieltjes transform of generalized functions. The real and complex inversion theorems are discussed in sections 6 and 7. The Poisson transform of generalized functions, the iteration of the Laplace transform and the iterated Stieltjes transfrom are included in sections 8, 9 and 10. The Stieltjes transforms of different orders and the fractional order integration and further generalizations of the Stieltjes transform are discussed in sections 11 and 12. Sections 13, 14 and 15 are devoted to Abelian theorems, initial-value and final-value results. Some applications of the Stieltjes transforms are discussed in section 16. The final section deals with some open questions and unsolved problems. Many important and recent references are listed at the end.

scholarly journals A systematic review of recent developments in disaster waste management

2019 ◽  
Vol 235 ◽  
pp. 822-840 ◽  
Author(s):  
Fanshun Zhang ◽  
Cejun Cao ◽  
Congdong Li ◽  
Yang Liu ◽  
Donald Huisingh
Keyword(s):  
Systematic Review ◽  
Waste Management ◽  
Recent Developments

scholarly journals Dynamic Mechanism Design: An Introduction

2019 ◽  
Vol 57 (2) ◽  
pp. 235-274 ◽  
Author(s):  
Dirk Bergemann ◽  
Juuso Välimäki
Keyword(s):  
Mechanism Design ◽  
Dynamic Environment ◽  
Limited Liability ◽  
Dynamic Mechanism ◽  
Dynamic Mechanism Design ◽  
Dynamic Mechanisms ◽  
Sequential Screening ◽  
Open Questions ◽  
Recent Developments ◽  
Primary Focus

We provide an introduction to the recent developments of dynamic mechanism design, with a primary focus on the quasilinear case. First, we describe socially optimal (or efficient) dynamic mechanisms. These mechanisms extend the well-known Vickrey– Clark–Groves and D’Aspremont–Gérard–Varet mechanisms to a dynamic environment. Second, we discuss revenue optimal mechanisms. We cover models of sequential screening and revenue-maximizing auctions with dynamically changing bidder types. We also discuss models of information management where the mechanism designer can control (at least partially) the stochastic process governing the agents’ types. Third, we consider models with changing populations of agents over time. After discussing related models with risk-averse agents and limited liability, we conclude with a number of open questions and challenges that remain for the theory of dynamic mechanism design. ( JEL D44, D81, D82)

A systematic review of technology-based interventions for co-occurring substance use and trauma symptoms

2016 ◽  
Vol 23 (8) ◽  
pp. 701-709 ◽  
Author(s):  
Amanda K Gilmore ◽  
Sarah M Wilson ◽  
Nancy A Skopp ◽  
Janyce E Osenbach ◽  
Greg Reger
Keyword(s):  
Mental Health ◽  
Systematic Review ◽  
Substance Use ◽  
Stress Disorder ◽  
Preliminary Evidence ◽  
Trauma Symptoms ◽  
Current Systematic Review ◽  
Recent Developments ◽  
Mental Health Interventions ◽  
Single Intervention

Introduction Technology-based mental health interventions are becoming increasingly common, and several have begun to target multiple outcomes in a single intervention. Recent developments in the treatment of co-occurring posttraumatic stress disorder and substance use disorder has led to the development and testing of technology-based interventions for these disorders. The current systematic review examined technology-based interventions designed to improve mental health outcomes among patients with co-occurring trauma symptoms and substance use. Methods Of 601 articles reviewed, 14 included a technology-based intervention for patients with these co-occurring problems. Results Seven of these studies provided preliminary evidence that technology-based interventions are likely to be efficacious in reducing either trauma symptoms or substance use. The seven remaining studies demonstrated that technology-based interventions for co-occurring trauma symptoms and substance use are feasible. Discussion This review suggests that technology-based interventions for co-occurring trauma symptoms and substance use are feasible, but more work is needed to assess efficacy using scientifically rigorous studies.

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