Some algebraic universal semigroup compactifications.
Some applications of fractional calculus to operator semigroups and functional calculus
We survey some recent results on functional calculus for generators of holomorphic semigroups, which have been obtained using versions of fractional derivation of Riemann-Liouville or Weyl type. Such a calculus allows us to give tight estimates even in concrete L¹ examples.
Some Applications of Grothendieck's Theory of Topological Tensor Products in Harmonie Analysis.
Some approximation problems in -spaces of matrix-valued functions
Some aspects of abstract harmonic analysis.
Some aspects of convex functions and their applications.
Some aspects of harmonic analysis on free groups
Some examples in harmonic analysis
Some Fourier transform inversion theorem
SOME GENERAL RESULTS ON FIXED POINTS AND INVARIANT MEANS.
Some homological properties of Banach algebras associated with locally compact groups
We investigate some homological notions of Banach algebras. In particular, for a locally compact group G we characterize the most important properties of G in terms of some homological properties of certain Banach algebras related to this group. Finally, we use these results to study generalized biflatness and biprojectivity of certain products of Segal algebras on G.
Some natural families of M-ideals.
Some new Hardy spaces on locally compact Vilenkin groups
Some new inhomogeneous Triebel-Lizorkin spaces on metric measure spaces and their various characterizations
Let be a space of homogeneous type, i.e. X is a set, ϱ is a quasi-metric on X with the property that there are constants θ ∈ (0,1] and C₀ > 0 such that for all x,x’,y ∈ X, , and μ is a nonnegative Borel regular measure on X such that for some d > 0 and all x ∈ X, . Let ε ∈ (0,θ], |s| < ε and maxd/(d+ε),d/(d+s+ε) < q ≤ ∞. The author introduces new inhomogeneous Triebel-Lizorkin spaces and establishes their frame characterizations by first establishing a Plancherel-Pólya-type inequality...
Some new spaces of Besov and Triebel-Lizorkin type on homogeneous spaces
New norms for some distributions on spaces of homogeneous type which include some fractals are introduced. Using inhomogeneous discrete Calderón reproducing formulae and the Plancherel-Pólya inequalities on spaces of homogeneous type, the authors prove that these norms give a new characterization for the Besov and Triebel-Lizorkin spaces with p, q > 1 and can be used to introduce new inhomogeneous Besov and Triebel-Lizorkin spaces with p, q ≤ 1 on spaces of homogeneous type. Moreover, atomic...
Some non-homogeneous Hardy spaces on locally compact Vilenkin groups
Some notions of amenability for certain products of Banach algebras
For two Banach algebras and ℬ, an interesting product , called the θ-Lau product, was recently introduced and studied for some nonzero characters θ on ℬ. Here, we characterize some notions of amenability as approximate amenability, essential amenability, n-weak amenability and cyclic amenability between and ℬ and their θ-Lau product.
Some oscillatory integrals and their applications
Some problems and remarks on relative multipliers