E-resources
Peer reviewed
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He, Y.
Acta mathematica Hungarica, 06/2023, Volume: 170, Issue: 1Journal Article
Suppose that ( X , d , μ ) is a metric measure space of homogeneous type and L is a one-to-one operator of type ω on L 2 ( X ) , with ω ∈ 0 , π / 2 ) , which has a bounded holomorphic functional calculus, and whose heat kernel satisfies the Davies–Gaffney estimates. Suppose that p ( · ) : X → ( 0 , 1 is a variable exponent function with the globally log-Hölder continuous condition. In this paper, we introduce the variable Hardy–Lorentz space H L p ( · ) , q ( X ) associated with L with 0 < p - ≤ p + ≤ 1 and 0 < q < ∞ , and establish its molecular characterization. Moreover, we study the dual spaces of H L p ( · ) , q ( X ) with 0 < p - ≤ p + ≤ 1 and 0 < q < ∞ .
