Continuity envelopes for the spaces of generalised smoothness B (s,Ψ) pq (R n) and F (s,Ψ) pq (R n) are studied in the so-called supercritical case s = 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… (More)
We prove sharp embeddings of Besov spaces B 0,b p,r involving only a slowly varying smoothness b into Lorentz-Karamata spaces. As consequences of our results, we obtain the growth envelope of the Besov space B 0,b p,r .
In this article we study atomic and molecular decompositions in 2-microlocal Besov and Triebel–Lizorkin spaces with variable integrability. We show that, in most cases, the convergence implied in such decompositions holds not only in the distributions sense, but also in the function spaces themselves. As an application, we give a simple proof for the… (More)
In this paper we study various key properties for 2-microlocal Besov and Triebel–Lizorkin spaces with all exponents variable, including the lifting property, em-beddings and Fourier multipliers. We also clarify and improve some statements recently published.
The concept of local growth envelope (E LG A, u) of the quasi-normed function space A is applied to the Besov spaces of generalized smoothness B σ,N p,q (R n).
This manuscript examined the psychometric properties and factor structure of the emotional contagion scale in a Portuguese sample. The original scale was first given to a sample of 1445 individuals to verify its internal consistency. Both exploratory and confirmatory factor analyses were performed. Results suggested that the data from the emotional… (More)
We characterize local embeddings of Besov spaces B 0,b p,r involving only a slowly varying smoothness b into classical Lorentz spaces. These results are applied to establish sharp local embeddings of Besov spaces in question into Lorentz-Karamata spaces. As consequence of these results, we are able to determine growth envelopes of spaces B 0,b p,r and to… (More)
The aim of this study is to characterize the current status of blended learning in Portugal, given that b-learning has grown exponentially in the Portuguese market over recent years. 38 organizations (representing 68% of all institutions certified to provide distance training by the Government Labour Office – DGERT-) participated in this study. The results… (More)