1,720,998 research outputs found
On small Lebesgue spaces
No full textWe consider a generalized version of the small Lebesgue spaces, introduced by Fiorenza as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss the comparison with the Orlicz spaces
On small Lebesgue spaces
No full textWe consider a generalized version of the small Lebesgue spaces, introduced by Fiorenza as the associate spaces of the grand Lebesgue spaces. We find a simplified expression for the norm, prove relevant properties, compute the fundamental function and discuss the comparison with the Orlicz spaces
An abstract characterization of linear partial differential operators with unbounded coefficients
No full textWe give a characterization of linear elliptic operators of the second order in divergence form with coefficients in the space of exponentially integrable functions. Thus extends a result of S. Spagnolo who considered bounded measurable coefficients
A pairing between BMO functions and Jacobians
No full textExtending a result of R. Coifman, P.L. Lions, Y. Meyer e S. Semmes, we give a characterization of bounded mean oscillation functions by pairing them with Jacobians
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
The fractional maximal operator and fractional integrals on variable spaces
No full textWe prove that if the exponent function satisfies log-Holder continuity conditions locally and at infinity, then the fractional maximal operator , L^{p(.)}L^{q(.)}1/p(x) - 1/q(x) = \alpha /n(1, n/(n - a))M_\alphaM_\alphaI_\alphaL^p$ spaces
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