| |
|
We 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. |
| |
|
|
| |
|
We investigate the motion of uncharged particles scattered by a binary system consisting of extremely charged black holes in equilibrium as described by the Majumdar-Papapetrou solution. We focus on unbound orbits confined to the plane containing both black holes. We consider the two complementary… |
| |
|
The Leontief model, originally developed for describing an economic system in terms of mutually interrelated and structurally conditioned simultaneous flows of commodities and services, has important applications to wide ranging disciplines. A basic model assumes the linear form x=Tx+d, where x… |
| |
|
|
| |
|
The evolution of a geothermal system is studied. A mathematical model is proposed and the corresponding free boundary problem is formulated in a one-dimensional geometry. A situation corresponding to the geothermal field in Larderello, Tuscany (Italy) is considered, showing that the problem has two… |
| |
|
|
| |
|
We consider the problem of testing for additivity and joint effects in multivariate nonparametric regression when the data are modelled as
observations of an unknown response function observed on a d-dimensional lattice and contaminated with additive Gaussian noise.
We propose tests for additivity… |
| |
|
The phase-separation process of a binary mixture with order-parameter-dependent mobility under shear flow is numerically studied. The ordering is characterized by an alternate stretching and bursting of domains which produce oscillations in the physical observables. The amplitude of such… |
| |
|
Yano's extrapolation theorem dated back to 1951 establishes boundedness properties of a subadditive operator acting continuously in for close to and/or taking into as and/or with norms blowing up at speed and/or,. Here we give answers in terms of Zygmund, Lorentz-Zygmund and small Lebesgue spaces… |
