The aim of this article is to study semigroups composition operators on the BMOA-type spaces $BMOA_p$, and their "little oh" analogues $VMOA_p$. $BMOA_p$ were introduced by R. Zhao as part large family F(p,q,s) spaces, are M\"{o}bius invariant subspaces Dirichlet $D^p_{p-1}$. We maximal subspace strong continuity, providing a sufficient condition infinitesimal generator ${\phi}$, under which $[...

Fuzzy bi-ideals play an important role in the study of ordered semigroupstructures. The purpose of this paper is to initiate and study theintiuitionistic fuzzy bi-ideals in ordered semigroups and investigate thebasic theorem of intuitionistic fuzzy bi-ideals. To provide thecharacterizations of regular ordered semigroups in terms of intuitionisticfuzzy bi-ideals and to discuss the relationships ...

This paper considers strongly continuous semigroups of operators on Banach lattices which are locally eventually positive, a property that was first investigated in the context concrete fourth-order evolution equations. We construct simple example to show typical assumptions spectrum semigroup generator considered currently literature far from necessary more general setting local eventual posit...

We consider perturbations of dynamical semigroups on the algebra all bounded operators in a Hilbert space generated by covariant completely positive measures semi-axis. The construction is based upon unbounded linear generators preadjoint nuclear operators. As an application we construct perturbation semigroup non-unital *-endomorphisms canonical anticommutation relations resulting flow shifts.

We study BMO spaces associated with semigroup of operators on noncommutative function spaces (i.e. von Neumann algebras) and apply the results to boundedness of Fourier multipliers on non-abelian discrete groups. We prove an interpolation theorem for BMO spaces and prove the boundedness of a class of Fourier multipliers on noncommutative Lp spaces for all 1 < p < ∞, with optimal constants in p....

We study tent spaces on general measure spaces (Ω, μ). We assume that there exists a semigroup of positive operators on Lp(Ω, μ) satisfying a monotone property but do not assume any geometric/metric structure on Ω. The semigroup plays the same role as integrals on cones and cubes in Euclidean spaces. We then study BMO spaces on general measure spaces and get an analogue of Fefferman’s H1-BMO du...