Titlebook: Hardy Operators, Function Spaces and Embeddings; David E. Edmunds,W. Desmond Evans Book 2004 Springer-Verlag Berlin Heidelberg 2004 Banach

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David E. Edmunds,W. Desmond Evansand technology, i.e. the field of Science and Technology Studies (STS), in relation to ageing. The discussion revolves around three major insights that can be derived from the STS literature on ageing and technology: (i) that ageing and technology mutually shape each other, (ii) that older persons o

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David E. Edmunds,W. Desmond Evansverarching question guided this multidisciplinary collection. Emerging technologies, particularly new information and communication technologies, can lead to positive outcomes in later life, contributing to quality of life and social connectedness. However, they can also increase social inequalities

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David E. Edmunds,W. Desmond Evanses of the transnational life course, intergenerational relations, and citizenship negotiation. It is based on a qualitative research conducted in French-speaking Switzerland using semi-structured interviews with 24 families who tried to bring in elderly parents and 48 social workers working in servi

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Hardy-type Operators,if . < 1/p′ = 1–1/p,.for some constant . > 0 independent of .. If . > 1/p′, the inequality takes the form.where . = ...... The best possible constants . in (2.1.1) and (2.1.2) are equal and this common value was determined by Landau in [150] as

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,Poincaré and Hardy inequalities,espectively the Dirichlet Laplacian and the Neumann Laplacian on .. We recall that —.. is the Friedrichs extension of -. on ...(.) and that its domain .(—..)is contained in the Sobolev space W ..(.): . is the Dirichlet Laplacian of .(—..), . = ., if it belongs to ..,.(.) and for all . ∈ ...(.),

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Approximation numbers of Sobolev embeddings,Suppose |.| < ∞ and let ...,. (.) denote the quotient space ...(.)/C with norm.where [?] denotes an equivalence class in ...,. (.) of functions which differ a.e. by a constant. The quotient space ..(.)/C will be denoted by L.,c(.) and its norm by