On a general Lie group G endowed with a sub-Riemannian structure and of local dimension d, we characterize the pointwise multipliers of Triebel–Lizorkin spaces Fαp,q for p,q∈(1,∞) and α>d/p, and those of Besov spaces Bαp,q for q∈[1,∞], p>d and d/p
Pointwise multipliers for Triebel–Lizorkin and Besov spaces on Lie groups / T. Bruno, M.M. Peloso, M. Vallarino. - In: BULLETIN DES SCIENCES MATHEMATIQUES. - ISSN 0007-4497. - 188:(2023 Nov), pp. 103320.1-103320.41. [10.1016/j.bulsci.2023.103320]
Pointwise multipliers for Triebel–Lizorkin and Besov spaces on Lie groups
T. Bruno
Primo
;M.M. PelosoSecondo
;
2023
Abstract
On a general Lie group G endowed with a sub-Riemannian structure and of local dimension d, we characterize the pointwise multipliers of Triebel–Lizorkin spaces Fαp,q for p,q∈(1,∞) and α>d/p, and those of Besov spaces Bαp,q for q∈[1,∞], p>d and d/p
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