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Article Dans Une Revue Studia Mathematica Année : 2017

Hardy spaces associated with non-negative self-adjoint operators

Résumé

The maximal and atomic Hardy spaces H p and H p A , 0 < p ≤ 1, are considered in the setting of a doubling metric measure space in the presence of a nonnegative self-adjoint operator whose heat kernel has Gaussian localization. It is shown that H p = H p A with equivalent norms.

Dates et versions

hal-03916998 , version 1 (31-12-2022)

Identifiants

Citer

Shai Dekel, Gerard Kerkyacharian, George Kyriazis, Pencho Petrushev. Hardy spaces associated with non-negative self-adjoint operators. Studia Mathematica, 2017, 239 (1), pp.17-54. ⟨10.4064/sm8646-12-2016⟩. ⟨hal-03916998⟩
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