Characterizations of generalized Hardy and BMO spaces via square functions

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Schrödinger operator, Schrödinger equation (35J10) (H^p)-spaces (42B30)

Cites Work

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Heat kernels, upper bounds and Hardy spaces associated to the generalized Schrödinger operators
Poisson semigroup, area function, and the characterization of Hardy space associated to degenerate Schrödinger operators
A characterization of Hardy spaces associated with certain Schrödinger operators
Note on \(H^1\) spaces related to degenerate Schrödinger operators
Comparison of the classical BMO with the BMO spaces associated with operators and applications
Regularity properties of the heat kernel and area integral characterization of Hardy space \(H_{\mathcal{L}}^1\) related to degenerate Schrödinger operators
Regularities of semigroups, Carleson measures and the characterizations of BMO-type spaces associated with generalized Schrödinger operators
Carleson measures for the generalized Schrödinger operator
BMO spaces related to Schrödinger operators with potentials satisfying a reverse Hölder inequality
On fundamental solutions of generalized Schrödinger operators
\(L^ p\) estimates for Schrödinger operators with certain potentials
Heat kernels of generalized degenerate Schrödinger operators and Hardy spaces
Lusin characterisation of Hardy spaces associated with Hermite operators
\(H^p\) spaces of several variables
The uncertainty principle
Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
Weighted HARDY Spaces
Weighted bounded mean oscillation and the Hilbert transform
Maximal function characterizations for new local Hardy-type spaces on spaces of homogeneous type
Weighted Hardy spaces and BMO spaces associated with Schrödinger operators
Duality of Hardy and BMO spaces associated with operators with heat kernel bounds
Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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