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Showing 1 to 5 of 5 for “"Weighted Norm"”.
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Weighted Norm Inequalities for the Maximal Operator on Variable Lebesgue Spaces Over Spaces of Homogeneous Type
… type $(X,\mu,d)$, we prove strong-type weighted norm inequalities for the Hardy-Littlewood maximal operator over the variable exponent Lebesgue spaces $L^\pp$. We prove that the variable Muckenhoupt condition $\App$ is necessary and sufficient for the strong type inequality if $\pp$ …
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Discrete-time band-limited extrapolation algorithms for radar imaging systems
… In the one-dimensional case, we examine the Weighted-Norm, Iterative Weighted-Norm, Control-Point, Data Segmentation, and Cascade Form algorithms. Each modifies the reconstruction subspace used in the extrapolation. The basic extrapolation algorithms are the first three which form the …
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Stability of planar fronts for a class of reaction diffusion systems
… nonlinear equation on the intersection of the unweighted and weighted spaces. In this space, we prove the existence of a stable foliation in vicinity of the traveling front solution, that is, we show that each translation of the front has a stable manifold formed by solutions converging to the …
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Control of flexible spacecraft during a minimum-time maneuver
… by an optimal linear quadratic regulator, (2) a weighted norm spanning the full modeled state is minimized toward the end of the time interval, and (3) the supremum"time constant" of the full modeled system is minimized, while (1) serves as a constraint, thus resulting in a finite-time stable …
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Incremental proper orthogonal decomposition for PDE simulation data: Algorithms and analysis
… an incremental SVD algorithm with respect to a weighted inner product to compute the proper orthogonal decomposition (POD). The algorithm is applicable to data generated by many numerical methods for PDEs, including finite element and discontinuous Galerkin methods. We also modify the algorithm …