Displaying 501 – 520 of 914

Showing per page

On the A -integrability of singular integral transforms

Shobha Madan (1984)

Annales de l'institut Fourier

In this article we study the weak type Hardy space of harmonic functions in the upper half plane R + n + 1 and we prove the A -integrability of singular integral transforms defined by Calderón-Zygmund kernels. This generalizes the corresponding result for Riesz transforms proved by Alexandrov.

On the algebra of smooth operators

Tomasz Ciaś (2013)

Studia Mathematica

Let s be the space of rapidly decreasing sequences. We give the spectral representation of normal elements in the Fréchet algebra L(s',s) of so-called smooth operators. We also characterize closed commutative *-subalgebras of L(s',s) and establish a Hölder continuous functional calculus in this algebra. The key tool is the property (DN) of s.

On the growth of analytic semigroups along vertical lines

José Galé, Thomas Ransford (2000)

Studia Mathematica

We construct two Banach algebras, one which contains analytic semigroups ( a z ) R e z > 0 such that | a 1 + i y | arbitrarily slowly as | y | , the other which contains ones such that | a 1 + i y | arbitrarily fast

On the ideal structure of algebras of LMC-algebra valued functions

Jorma Arhippainen (1992)

Studia Mathematica

Let X be a completely regular topological space and A a commutative locally m-convex algebra. We give a description of all closed and in particular closed maximal ideals of the algebra C(X,A) (= all continuous A-valued functions defined on X). The topology on C(X,A) is defined by a certain family of seminorms. The compact-open topology of C(X,A) is a special case of this topology.

Currently displaying 501 – 520 of 914