5,735 research outputs found
Nikolskii inequality and functional classes on compact Lie groups
In this note we study Besov, Triebel-Lizorkin, Wiener, and Beurling function
spaces on compact Lie groups. A major role in the analysis is played by the
Nikolskii inequality.Comment: In this note (to appear in Funct. Anal. Appl.) we present results
from our paper at arXiv:1403.3430 (to appear in Ann. Sc. Norm. Super. Pisa
Cl. Sci.) in the simplified setting of compact Lie groups. We refer to the
above paper for more general formulations in the setting of compact
homogeneous manifolds and for the proof
Condensation of Silica Nanoparticles on a Phospholipid Membrane
The structure of the transient layer at the interface between air and the
aqueous solution of silica nanoparticles with the size distribution of
particles that has been determined from small-angle scattering has been studied
by the X-ray reflectometry method. The reconstructed depth profile of the
polarizability of the substance indicates the presence of a structure
consisting of several layers of nanoparticles with the thickness that is more
than twice as large as the thickness of the previously described structure. The
adsorption of 1,2-distearoyl-sn-glycero-3-phosphocholine molecules at the
hydrosol/air interface is accompanied by the condensation of anion silica
nanoparticles at the interface. This phenomenon can be qualitatively explained
by the formation of the positive surface potential due to the penetration and
accumulation of Na+ cations in the phospholipid membrane.Comment: 7 pages, 5 figure
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