Characterizations of Lipschitz functions via the commutators of maximal function in total Morrey spaces
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
|
||
| Dergi Adı | Mathematical Methods in the Applied Sciences (Q1) | ||
| Dergi ISSN | 0170-4214 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | |||
| Makale Dili | İngilizce | Basım Tarihi | 07-2024 |
| Cilt / Sayı / Sayfa | 47 / 11 / 8669–8682 | DOI | 10.1002/mma.10038 |
| Makale Linki | https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.10038 | ||
| Özet |
| We give necessary and sufficient conditions for the boundedness of the maximal commutators Mb$$ {M}_b $$ and the commutators of the maximal operator [b,M]$$ \left[b,M\right] $$ in total Morrey spaces Lp,λ,μ(ℝn)$$ {L}^{p,\lambda, \mu}\left({\mathrm{\mathbb{R}}}^n\right) $$ when b$$ b $$ belongs to Lipschitz spaces Λ˙β(ℝn)$$ {\dot{\Lambda}}_{\beta}\left({\mathrm{\mathbb{R}}}^n\right) $$, whereby some new characterizations for certain subclasses of Lipschitz spaces Λ˙β(ℝn)$$ {\dot{\Lambda}}_{\beta}\left({\mathrm{\mathbb{R}}}^n\right) $$ are obtained. |
| Anahtar Kelimeler |
| characterizations | commutator | fractional maximal function | Lipschitz spaces | maximal function | total Morrey spaces |