Hardy Spaces Associated to Non-Negative Self-Adjoint Operators Satisfying Davies-Gaffney Estimates

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Maximal function characterizations for new local Hardy-type spaces on spaces of homogeneous type (2016, background): “Prior to [38] the direction H L,rad(X) ⊇ H p L,max(X) ⊇ H p L,at(X) can be found in [12, 27, 25], but the reverse direction was only known for special cases of L [19, 25, 26].”
Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates (2013, methodology): “in [39], where the dense subspace H2(X) of the Hardy space is defined to be the completion of the range of L in L2(X), R(L) (see [39] for more details).”
Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications (2018, background): “The articles [23, 22] give an account of this body of work and there one can also find partial answers to (4).”
Hardy spaces associated to operators satisfying Davies–Gaffney estimates and bounded holomorphic functional calculus☆ (2013, methodology): “[20] introduced the new Hardy spaces H L, 1 ≤ p < ∞, on a metric space X associated to a non-negative self-adjoint operator L satisfying Davies–Gaffney estimates.”
New Orlicz–Hardy spaces associated with divergence form elliptic operators (2009, background): “∫ rB 0 ∫ B |a(x, t)(t2L∗)M+1e−t2L∗(h)(x)| dx dt t .”
Calderón reproducing formulas and new Besov spaces associated with operators (2012, background): “See, for example, [1,2,18,30,31] and the references therein.”