Regularity of Fractional Heat Semigroup Associated with Schrödinger Operators

Pseudodifferential operators associated with a semigroup of operators

Arens regularity of inverse semigroup algebras‎

‎We present a characterization of Arens regular semigroup algebras‎ ‎$ell^1(S)$‎, ‎for a large class of semigroups‎. ‎Mainly‎, ‎we show that‎ ‎if the set of idempotents of an inverse semigroup $S$ is finite‎, ‎then $ell^1(S)$ is Arens regular if and only if $S$ is finite‎.

new semigroup compactifications via the enveloping semigroups of associated flows

this thesis deals with the construction of some function algebras whose corresponding semigroup compactification are universal with respect to some properies of their enveloping semigroups. the special properties are of beigan a left zero, a left simple, a group, an inflation of the right zero, and an inflation of the rectangular band.

Commutators associated with Schrödinger operators on the nilpotent Lie group

Assume that G is a nilpotent Lie group. Denote by [Formula: see text] the Schrödinger operator on G, where Δ is the sub-Laplacian, the nonnegative potential W belongs to the reverse Hölder class [Formula: see text] for some [Formula: see text] and D is the dimension at infinity of G. Let [Formula: see text] be the Riesz transform associated with L. In this paper we obtain some estimates for the...

An estimate of the gap of spectrum of Schrödinger operators which generate hyperbounded semigroup

Notations (X, B, m): Probability space dm ϕ = ϕ 2 dm: Weighted measure (ϕ ∈ L 2 (m)). V ∈ L 1 (X, m). u m = X udm In this section, we are working in more general situations than hyperbounded setting. (A1) (conservativeness and derivation property) P t : a conservative L 2-Markovian symmetric semigroup on L 2 (m). (E, D) : the corresponding Dirichlet form. Then E(1, 1) = 0 holds. For any ϕ which...