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Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk
Calderón-Zygmund decomposition Carleson measure weighted Bergman space
2012/6/21
We prove that, for every $\alpha > -1$, the pull-back measure $\phi ({\cal A}_\alpha)$ of the measure $d{\cal A}_\alpha (z) = (\alpha + 1) (1 - |z|^2)^\alpha \, d{\cal A} (z)$, where ${\cal A}$ is the...
Nullity of Measurement-induced Nonlocality
Nullity of Measurement-induced Nonlocality Functional Analysis
2011/9/29
Abstract: Measurement-induced nonlocality is a measure of nonlocality introduced by Luo and Fu [Phys. Rev. Lett. \textbf{106}, 120401(2011)]. In this paper, we present a sufficient and necessary condi...
Fluid-induced pattern-formation in 3D photonic crystals with spatially varying surface functionalization
3D photonic spatially varying surface functionalization
2010/12/28
We introduce a 3D porous photonic crystal whose inner surfaces are chemically functionalized in arbitrary spatial patterns with micro-scale resolution. We use this platform to demonstrate pattern-form...