Sentence examples for maximal function in from inspiring English sources

The spaces of boundary values of vector-valued functions in Hardy spaces defined by either holomorphic functions on the disk or harmonic functions with maximal function in Lp are characterized in terms of vector-valued measures of bounded p-variation.

We extend to the case p = 1 a characterization of the Radon-Nikodym property based on the existence of limits at the boundary for harmonic functions with maximal function in L1.

In this paper, we introduce the sharp maximal function in this general setting, and establish the equivalence of theLpnorms between the sharp maximal function and the Hardy Littlewood maximal function, as well the John Nirenberg type inequalities.

Although workers' compensation statutes vary among states, all have several basic features with the overall goal of returning the injured worker to maximal function in the shortest time period, with the least residual disability and shortest time away from work.

Let 0 < p ⩽ ∞ and let H̃ph(X) denote the space of X-valued harmonic functions on the half-space with boundary values almost everywhere and Poisson maximal function in Lp(Rn), and H̃p X) the closure of the X-valued analytic polynomials on the disc under the norm given by sup0 < r < 1 ∥fr∥p.

Following Burkholder, we see that u is convex and (uin{mathcal{F}}), so that u is the maximal function in ({mathcal{F}}).

Second, we show that a uniform condition for micro-doubling in the Euclidean spaces provides dimension free estimates for their maximal functions in all Lp with p>1.

The study has been motivated by current investigations of convolution maximal functions in stochastic analysis, where the problem occurs for.

The classical (A_{p}) weight theory was first introduced by Muckenhoupt in the study of weighted (L^{p}) boundedness of Hardy-Littlewood maximal functions in [17].

The encoded enzyme variants differ significantly in the ethanol concentrations they require for maximal function and in how fast they metabolize the ethanol (i.e., in their kinetic properties), with both ADH1B*2 and ADH1B*3 encoding enzymes with faster turnover (i.e., higher Vmax) than the reference allele (see table 1).

In 2D cubic case, using the Gabor frame, we get some time-global dispersive estimates for the Schrödinger semi-group in anisotropic Lebesgue spaces, which include a time-global maximal function estimate in the space L2x1L∞x2,t.