ORCID Profile
0000-0002-2226-7051
Current Organisations
Australian National University
,
University of South Australia
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Lie Groups, Harmonic and Fourier Analysis | Pure Mathematics |
Publisher: American Mathematical Society (AMS)
Date: 25-04-2013
Publisher: Elsevier BV
Date: 10-2016
Publisher: Elsevier BV
Date: 11-2013
Publisher: Elsevier BV
Date: 05-2017
Publisher: Institute of Mathematics, Polish Academy of Sciences
Date: 2020
Publisher: Elsevier BV
Date: 09-2022
Publisher: Elsevier BV
Date: 10-2017
Publisher: American Mathematical Society
Date: 13-06-2012
DOI: 10.1090/STML/063
Publisher: Elsevier BV
Date: 08-2019
Publisher: Elsevier BV
Date: 07-2018
Publisher: Springer Science and Business Media LLC
Date: 17-06-2021
Publisher: Springer Science and Business Media LLC
Date: 25-02-2017
Publisher: Elsevier BV
Date: 07-2018
Publisher: American Mathematical Society (AMS)
Date: 11-06-2018
DOI: 10.1090/PROC/14050
Abstract: The commutators of bilinear Calderón–Zygmund operators and pointwise multiplication with a symbol in C M O \\mathrm {CMO} are bilinear compact operators on products of Lebesgue spaces. We show that, for certain non-degenerate Calderón–Zygmund operators, the symbol being in C M O \\mathrm {CMO} is not only sufficient but actually necessary for the compactness of the commutators.
Publisher: Institute of Mathematics, Polish Academy of Sciences
Date: 2016
Publisher: European Mathematical Society - EMS - Publishing House GmbH
Date: 2015
DOI: 10.4171/RMI/853
Publisher: Mathematical Institute, Tohoku University
Date: 09-2021
DOI: 10.2748/TMJ.20200415
Publisher: National Institute for Health and Care Research
Date: 09-2020
DOI: 10.3310/PGFAR08080
Abstract: In the UK, most people with dementia die in the community and they often receive poorer end-of-life care than people with cancer. The overall aim of this programme was to support professionals to deliver good-quality, community-based care towards, and at, the end of life for people living with dementia and their families. The Supporting Excellence in End-of-life care in Dementia (SEED) programme comprised six interlinked workstreams. Workstream 1 examined existing guidance and outcome measures using systematic reviews, identified good practice through a national e-survey and explored outcomes of end-of-life care valued by people with dementia and family carers ( n = 57) using a Q-sort study. Workstream 2 explored good-quality end-of-life care in dementia from the perspectives of a range of stakeholders using qualitative methods (119 interviews, 12 focus groups and 256 observation hours). Using data from workstreams 1 and 2, workstream 3 used co-design methods with key stakeholders to develop the SEED intervention. Worksteam 4 was a pilot study of the SEED intervention with an embedded process evaluation. Using a cluster design, we assessed the feasibility and acceptability of recruitment and retention, outcome measures and our intervention. Four general practices were recruited in North East England: two were allocated to the intervention and two provided usual care. Patient recruitment was via general practitioner dementia registers. Outcome data were collected at baseline, 4, 8 and 12 months. Workstream 5 involved economic modelling studies that assessed the potential value of the SEED intervention using a contingent valuation survey of the general public ( n = 1002). These data informed an economic decision model to explore how the SEED intervention might influence care. Results of the model were presented in terms of the costs and consequences (e.g. hospitalisations) and, using the contingent valuation data, a cost–benefit analysis. Workstream 6 examined commissioning of end-of-life care in dementia through a narrative review of policy and practice literature, combined with indepth interviews with a national s le of service commissioners ( n = 20). The workstream 1 survey and workstream 2 included services throughout England. The workstream 1 Q-sort study and workstream 4 pilot trial took place in North East England. For workstream 4, four general practices were recruited two received the intervention and two provided usual care. Currently, dementia care and end-of-life care are commissioned separately, with commissioners receiving little formal guidance and training. Ex les of good practice rely on non-recurrent funding and leadership from an interested clinician. Seven key components are required for good end-of-life care in dementia: timely planning discussions, recognising end of life and providing supportive care, co-ordinating care, effective working with primary care, managing hospitalisation, continuing care after death, and valuing staff and ongoing learning. Using co-design methods and the theory of change, the seven components were operationalised as a primary care-based, dementia nurse specialist intervention, with a care resource kit to help the dementia nurse specialist improve the knowledge of family and professional carers. The SEED intervention proved feasible and acceptable to all stakeholders, and being located in the general practice was considered beneficial. None of the outcome measures was suitable as the primary outcome for a future trial. The contingent valuation showed that the SEED intervention was valued, with a wider package of care valued more than selected features in isolation. The SEED intervention is unlikely to reduce costs, but this may be offset by the value placed on the SEED intervention by the general public. The biggest challenge to the successful delivery and completion of this research programme was translating the ‘theoretical’ complex intervention into practice in an ever-changing policy and service landscape at national and local levels. A major limitation for a future trial is the lack of a valid and relevant primary outcome measure to evaluate the effectiveness of a complex intervention that influences outcomes for both in iduals and systems. Although the dementia nurse specialist intervention was acceptable, feasible and integrated well with existing care, it is unlikely to reduce costs of care however, it was highly valued by all stakeholders (professionals, people with dementia and their families) and has the potential to influence outcomes at both an in idual and a systems level. There is no plan to progress to a full randomised controlled trial of the SEED intervention in its current form. In view of new National Institute for Health and Care Excellence dementia guidance, which now recommends a care co-ordinator for all people with dementia, the feasibility of providing the SEED intervention throughout the illness trajectory should be explored. Appropriate outcome measures to evaluate the effectiveness of such a complex intervention are needed urgently. Current Controlled Trials ISRCTN21390601. This project was funded by the National Institute for Health Research (NIHR) Programme Grants for Applied Research programme and will be published in full in Programme Grants for Applied Research , Vol. 8, No. 8. See the NIHR Journals Library website for further project information.
Publisher: Society for Industrial & Applied Mathematics (SIAM)
Date: 2006
Publisher: Informa UK Limited
Date: 09-2008
Publisher: Springer Science and Business Media LLC
Date: 05-11-2016
Publisher: Cellule MathDoc/CEDRAM
Date: 15-02-2022
DOI: 10.5802/CRMATH.265
Publisher: The Royal Society
Date: 03-2022
Abstract: The harmonic-measure distribution function, or h -function, of a planar domain Ω ⊂ C with respect to a basepoint z 0 ∈ Ω is a signature that profiles the behaviour in Ω of a Brownian particle starting from z 0 . Explicit calculation of h -functions for a wide array of simply connected domains using conformal mapping techniques has allowed many rich connections to be made between the geometry of the domain and the behaviour of its h -function. Until now, almost all h -function computations have been confined to simply connected domains. In this work, we apply the theory of the Schottky–Klein prime function to explicitly compute the h -function of the doubly connected slit domain C ∖ ( [ − 1 / 2 , − 1 / 6 ] ∪ [ 1 / 6 , 1 / 2 ] ) . In view of the connection between the middle-thirds Cantor set and highly multiply connected symmetric slit domains, we then extend our methodology to explicitly construct the h -functions associated with symmetric slit domains of arbitrary even connectivity. To highlight both the versatility and generality of our results, we graph the h -functions associated with quadruply and octuply connected slit domains.
Publisher: Wiley
Date: 26-02-2008
DOI: 10.1112/JLMS/JDM114
Publisher: Springer Science and Business Media LLC
Date: 12-2016
Publisher: American Mathematical Society (AMS)
Date: 22-11-2023
DOI: 10.1090/PROC/15296
Abstract: We prove that the maximal functions associated with a Zygmund dilation dyadic structure in three-dimensional Euclidean space, and with the flag dyadic structure in two-dimensional Euclidean space, cannot be bounded by multiparameter sparse operators associated with the corresponding dyadic grid. We also obtain supplementary results about the absence of sparse domination for the strong dyadic maximal function.
Publisher: Springer Science and Business Media LLC
Date: 29-03-2013
Publisher: Springer International Publishing
Date: 2022
Start Date: 2004
End Date: 2007
Funder: Directorate for Mathematical & Physical Sciences
View Funded ActivityStart Date: 2002
End Date: 2005
Funder: Directorate for Mathematical & Physical Sciences
View Funded ActivityStart Date: 2012
End Date: 2014
Funder: Australian Research Council
View Funded ActivityStart Date: 2016
End Date: 2018
Funder: Australian Research Council
View Funded ActivityStart Date: 10-2012
End Date: 12-2017
Amount: $270,000.00
Funder: Australian Research Council
View Funded ActivityStart Date: 02-2016
End Date: 06-2020
Amount: $363,100.00
Funder: Australian Research Council
View Funded Activity