This paper asks: what are the democratic potentials of digital commons and public sphere? First, article identifies ten problems capitalism. Second, it engages with notion sphere. Third, outlines concept commons. Fourth, some conclusions drawn suggestions for advancing democracy presented.This contributes to theorising analysis capitalism, Internet platforms, sphere, commons, democracy, service...

‎Based on a definition for circle in Finsler space‎, ‎recently proposed by one of the present authors and Z‎. ‎Shen‎, ‎a natural definition of extrinsic sphere in Finsler geometry is given and it is shown that a connected submanifold of a Finsler manifold is totally umbilical and has non-zero parallel mean curvature vector field‎, ‎if and only if its circles coincide with circles of the ambient...

In this talk K be a global field and GK := Gal(K/K) the absolute Galois group over K. We let V be a p-adic representation of GK (finite-dimensional over Qp), and Σ a finite set of places of K containing p and ∞, outside which V is unramified. So we can and will view V as a representation of GK,Σ for technical reasons, it is at times important to work with that rather than the full GK ! We are g...

We investigate weighted composition operators that attain their norm on weighted Banach spaces of holomorphic functions on the unit disc of type H∞. Applications for composition operators on weighted Bloch spaces are given.

If each four spheres in a set of five unit spheres in R have nonempty intersection, then all five spheres have nonempty intersection. This result is proved using Grace’s theorem: the circumsphere of a tetrahedron encloses none of its escribed spheres. This paper provides self-contained proofs of these results; including Schläfli’s double six theorem and modified version of Lie’s line-sphere tra...

In this paper, the boundedness and compactness of weighted composition operators from analytic Morrey spaces into Bloch-type spaces and little Bloch-type spaces are studied.