In this article, we first prove Orlicz norm inequalities for the composition of the homotopy operator and the projection operator acting on solutions of the nonhomogeneous A-harmonic equation. Then we develop these estimates to L (μ)averaging domains. Finally, we give some specific examples of Young functions and apply them to the norm inequality for the composite operator. 2000 Mathematics Sub...

In this paper, the problem of delay dependent robust asymptotically stable for uncertain linear time-variant system with multiple delays is investigated. A new delay-dependent stability sufficient condition is given by using the Lyapunov method, linear matrix inequality (LMI), parameterized first-order model transformation technique and transformation of the interval uncertainty in to the norm ...

For a hyponormal operator, C. R. Putnam’s inequality gives an upper bound on the norm of its self-commutator. In the special case of a Toeplitz operator with analytic symbol in the Smirnov space of a domain, there is also a geometric lower bound shown by D. Khavinson (1985) that when combined with Putnam’s inequality implies the classical isoperimetric inequality. For a nontrivial domain, we co...

We generalize a previous inequality related to a sharp version of the Littlewood conjecture on the minimal L1-norm of N -term exponential sums f on the unit circle. The new result concerns replacing the expression log(1+ t|f |) with log (∑K k=1 tk|fk| 2 ) . The proof occurs on the level of finite Toeplitz matrices, where it reduces to an inequality between their polarized determinants (or “mixe...

We describe a modified Newton type algorithm for the solution of linear inequality systems in the sense of minimizing the /, norm of infeasibilities. Finite termination is proved, and numerical results are given.

There is a Banach algebra satisfying the von Neumann inequality for polynomials in a single variable, without constant term, which is not isomorphic to a norm-closed algebra of operators on a Hilbert space.

Some norm inequalities for sequences of linear operators defined on Hilbert spaces that are related to the classical Schwarz inequality are given. Applications for vector inequalities are also provided.

A new proof of a weighted norm inequality for multilinear singular integrals of Calderón-Zygmund type is presented through a more general estimate involving a sharp maximal function. An application is given to the study of certain multilinear commutators.

The Maurey-Rosenthal theorem states that each bounded and linear operator T from a quasi normed space E into some L p (ν) (0 < p < r < ∞) which satisfies a vector-valued norm inequality

Abstract. The focus of this paper is weighted uncertainty principle inequalities in harmonic analysis. We start by reviewing the classical uncertainty principle inequality, and then proceed to extensions and refinements by modifying two major results necessary to prove the classical case. These are integration by parts and the Plancherel theorem. The modifications are made by means of generaliz...