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- Title
Boundedness of Oscillation and Variation of Semigroups in Musielak–Orlicz–Hardy Spaces.
- Authors
Hu, Wenting
- Abstract
In this paper, let (X , d , μ) be a space of homogeneous type, L be a non-negative self-adjoint operator on L 2 (X) , and the kernels of the semigroup {(tL)me−tL}t>0 satisfy the Gaussian upper bound estimates for m ∈ ℤ+ ≔ {0} ∪ ℤ. The author shows that the oscillation operator and the variation operator of the semigroup {(tL)me−tL}t>0 are bounded from Musielak–Orlicz–Hardy space H φ , L (X) to Musielak–Orlicz space L φ (X) , where φ is a growth function.
- Subjects
OSCILLATIONS; HOMOGENEOUS spaces; SELFADJOINT operators
- Publication
Frontiers of Mathematics, 2023, Vol 18, Issue 3, p639
- ISSN
2731-8648
- Publication type
Article
- DOI
10.1007/s11464-021-0205-5