condition 
Examples are presented demonstrating that the condition to be Pompeiu in these manifolds is quite different from the corresponding condition for a torus of the same dimension.


The necessary condition on the weight is similar to the Ap condition but involves rectangles (instead of cubes) arising from a covering of a starshaped set related to Ω.


The condition det A=2 was known to be necessary, and we prove that it is sufficient.


This article also gives a single necessaryandsufficient condition for a holomorphic function to be the transform of a function f such that any derivative of f multiplied by any polynomial is in Lp (d, ρ).


Meisters and Peterson gave an equivalent condition under which the multisensor deconvolution problem has a solution when there are two convolvers, each the characteristic function of an interval.


When umbrae come from a wavelet setting, we recover the usual Lawton condition


In this article, a closer look at the original statement reveals that the existence condition in fact follows from the smoothness condition which simplifies significantly the statement of the GelfandLevitan theory.


We develop a general condition for automatically discretizing strong type bisublinear maximal estimates that arise in the context of the real line.


Also, we show by an example that the sufficient condition of Lagarias and Szabó [13] for the existence of universal spectra is not necessary.


We prove the natural FeffermanStein weak type inequality for the strong maximal function in the plane, under the assumption that the weight satisfies a strong Muckenhoupt condition.


We give a sufficient condition on finite data of lengthm, or step functions determined on the intervals [k/m, (k + 1)/m) , k = 0,...,m  1 of [0, 1), to be written as a Riesztype product in terms of the rows of H(m).


This unboundedness is still true even if we assume a generalized T(1) condition.


To be precise, we prove that the kernel of the associated operator satisfies a generalized H?rmander condition.


We show that no admissibility condition is required on (q,p) when 1≤q≤2.


A condition of the existence of stable positive steadystate solutions for a one predator two prey system


This paper provides a natural condition of the existence of stable positive steadystate solutions for the one predator two prey system.


In this paper a necessary and sufficient condition for a Kekuléan benzenoid system to be essentially disconnected benzenoid system with fixed double bonds is given and rigorously proved.


Analytic functions with range included in a Banach subspace are studied and a sufficient condition for analyticity in the subspace is given.


In this paper we study the Goursat problem for semilinear wave equations with zero boundary condition in which the boundary is the characteristic cone for wave operator.


It is proved in this paper thatS(·) satisfies the strong law of large numbers that is uniform overA∈A, whereA is a family of subsets of [0, 1]d satisfying a mild condition.

