Establishes that the L^p(Ω; S_r) norm of a finite-order decoupled homogeneous Gaussian chaos operator is bounded by C_m (p+r)^{m/2} times the maximum oriented Schatten flattening norm of its kernel.
Simon,Trace Ideals and Their Applications, 2nd ed., Mathematical Surveys and Monographs, vol
3 Pith papers cite this work. Polarity classification is still indexing.
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Proves the orthonormal analogue of Hassell-Tacy log-improved L^q spectral cluster bounds for windows of width (log λ)^{-1} on closed n-manifolds with nonpositive sectional curvature by combining Frank-Sabin orthonormal bounds, Bérard kernel estimates, and a generalized Bourgain-Shao-Sogge-Yao multip
Proves localized operator estimate for centered second-order Gaussian chaoses with scale window conditions, applicable to paracontrolled resonant products on R^d.
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Orthonormal Spectral Cluster Bounds on Manifolds with Nonpositive Curvature
Proves the orthonormal analogue of Hassell-Tacy log-improved L^q spectral cluster bounds for windows of width (log λ)^{-1} on closed n-manifolds with nonpositive sectional curvature by combining Frank-Sabin orthonormal bounds, Bérard kernel estimates, and a generalized Bourgain-Shao-Sogge-Yao multip