2019
DOI: 10.1080/17476933.2019.1684484
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Harmonic extension of -type spaces via regular wavelets

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Cited by 3 publications
(2 citation statements)
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“…In 2006, Essén et al 20 investigated several function-theoretic characterizations of Q  (D). Further, similar to Essén et al, 4 the real version of Q  (D), denoted by Q  (R n ), was established by Bao and Wulan 21 ; see also previous studies 19,[22][23][24] for further information. Inspired by Bao and Wulan 22 and Essén et al, 20 in the setting of Heisenberg groups H n , we introduce the following two classes of Q-type spaces related with weight functions denoted by Q (1) K (H n ) and Q (2) K (H n ), respectively: Definition 1.1.…”
Section: Introductionmentioning
confidence: 67%
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“…In 2006, Essén et al 20 investigated several function-theoretic characterizations of Q  (D). Further, similar to Essén et al, 4 the real version of Q  (D), denoted by Q  (R n ), was established by Bao and Wulan 21 ; see also previous studies 19,[22][23][24] for further information. Inspired by Bao and Wulan 22 and Essén et al, 20 in the setting of Heisenberg groups H n , we introduce the following two classes of Q-type spaces related with weight functions denoted by Q (1) K (H n ) and Q (2) K (H n ), respectively: Definition 1.1.…”
Section: Introductionmentioning
confidence: 67%
“…In 2006, Essén et al 20 investigated several function‐theoretic characterizations of QscriptKfalse(𝔻false). Further, similar to Essén et al, 4 the real version of QscriptKfalse(𝔻false), denoted by QscriptKfalse(nfalse)$$ {Q}_{\mathcal{K}}\left({\mathbb{R}}^n\right) $$, was established by Bao and Wulan 21 ; see also previous studies 19,22–24 for further information. Inspired by Bao and Wulan 22 and Essén et al, 20 in the setting of Heisenberg groups n$$ {\mathbb{H}}^n $$, we introduce the following two classes of Q$$ Q $$‐type spaces related with weight functions denoted by QKfalse(1false)false(nfalse)$$ {Q}_K^{(1)}\left({\mathbb{H}}^n\right) $$ and QKfalse(2false)false(nfalse)$$ {Q}_K^{(2)}\left({\mathbb{H}}^n\right) $$, respectively:…”
Section: Introductionmentioning
confidence: 96%