Representation generated by a finite number of Hilbert space operators
Resolvent kernel for the Kohn Laplacian on Heisenberg groups.
Roots of positive and negative operators on Wachs spaces
Selfadjoint Means and Operator Monotone Functions.
Semigroups and resolvents of bounded variation, imaginary powers and H°° functional calculus.
Several variable spectral theory in the noncommutative case
Sharp estimates for the Ornstein-Uhlenbeck operator
Let be the Ornstein-Uhlenbeck operator which is self-adjoint with respect to the Gauss measure on We prove a sharp estimate of the operator norm of the imaginary powers of on
Sharp maximal functions associated with approximations of the identity in spaces of homogeneous type and applications
In the context of the spaces of homogeneous type, given a family of operators that look like approximations of the identity, new sharp maximal functions are considered. We prove a good-λ inequality for Muckenhoupt weights, which leads to an analog of the Fefferman-Stein estimate for the classical sharp maximal function. As a consequence, we establish weighted norm estimates for certain singular integrals, defined on irregular domains, with Hörmander conditions replaced by some estimates which do...
Sharpened Forms of an Inequality of Von Neumann.
Smooth operators in the commutant of a contraction
For a completely non-unitary contraction T, some necessary (and, in certain cases, sufficient) conditions are found for the range of the calculus, , and the commutant, T’, to contain non-zero compact operators, and for the finite rank operators of T’ to be dense in the set of compact operators of T’. A sufficient condition is given for T’ to contain non-zero operators from the Schatten-von Neumann classes .
Sobre operadores de integración fraccional y algoritmos computacionales
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 Schwarz lemma for operators.
Some results on dominant operators.
Some vector inequalities for continuous functions of self-adjoint operators in Hilbert spaces.
Spectral mapping framework
In this paper we suggest a general framework of the spectral mapping theorem in terms of parametrized Banach space bicomplexes.
Spectral mapping inclusions for the Phillips functional calculus in Banach spaces and algebras
We investigate the weak spectral mapping property (WSMP) , where A is the generator of a ₀-semigroup in a Banach space X, μ is a measure, and μ̂(A) is defined by the Phillips functional calculus. We consider the special case when X is a Banach algebra and the operators , t ≥ 0, are multipliers.
Spectral mapping theorem for fractional powers in locally convex spaces
Spectral mapping theorem for the local spectrum
Spectral projections, semigroups of operators, and the Laplace transform