For a Young function Θ with 0 ≤ α < 1, let Mα,Θ be the fractional Orlicz maximal operator defined in the context of the spaces of homogeneous type (X, d, μ) by Mα,Θf(x) = supx∈Bμ(B)α{double pipe}f{double pipe}Θ,B, where ...

In this thesis we study the multidimensional Lorentz spaces via the two-dimensional decreasing rearrangement. In particular, results of interpolation, quasinormability and completeness are stablished, and weights that ...

Let b be a BMO function, 0 < α < 1 and I+,k α,b the commutator of order k for the Weyl fractional integral. In this paper we prove weighted strong type (p, p) inequalities (p > 1) and weighted endpoint estimates (p = 1) ...

Let M n denote the Hardy-Littlewood maximal operator on the n-th iteration of a given iterated function system (IFS). We give sufficient conditions on the IFS in order to obtain a pointwise estimate for M n in terms of the ...

The functional equation of composite type M(M(x; M(x; y)); M(M(x; y); y)) = M(x; y) arose in the course of the studies on the problem of extension and restriction of the number of arguments of a mean M performed by G. ...

In this work, we develop a mathematical model of a RAFT copolymerization process able to predict average molecular properties as well as the full bivariate molecular weight distribution – copolymer composition distribution ...

A continuous industrial emulsion copolymerization of acrylonitrile (A) and butadiene (B) carried out in a train of 8 continuous stirredtank reactors (CSTRs) at 10 °C is theoretically investigated, with the aim of producing ...

This research approaches about a design of a system for measuring physical parameters by bioimpedance analysis. The paper discusses the operation of the method, the validity, the differences between the use of simple and ...