Higher-order commutators of parametrized Littlewood–Paley operators on Herz spaces with variable exponent
Let Ω ∈ L 2 ( S n − 1 ) be a homogeneous function of degree zero and b be a BMO or Lipschitz function. In this paper, we obtain some boundedness of the parametrized Littlewood–Paley operators and their high-order commutators on Herz spaces with variable exponent. Keywords: Herz space, Variable expon...
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2017-08-01
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| Series: | Transactions of A. Razmadze Mathematical Institute |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2346809216300861 |
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doaj-bc403238a9904a23aafd491f35d8fe8c2020-11-24T20:47:34ZengElsevierTransactions of A. Razmadze Mathematical Institute2346-80922017-08-011712238251Higher-order commutators of parametrized Littlewood–Paley operators on Herz spaces with variable exponentHongbin Wang0Yihong Wu1School of Science, Shandong University of Technology, Zibo 255049, China; Corresponding author.Department of Recruitment and Employment, Zibo Normal College, Zibo 255130, ChinaLet Ω ∈ L 2 ( S n − 1 ) be a homogeneous function of degree zero and b be a BMO or Lipschitz function. In this paper, we obtain some boundedness of the parametrized Littlewood–Paley operators and their high-order commutators on Herz spaces with variable exponent. Keywords: Herz space, Variable exponent, Commutator, Parametrized area integral, Parametrized Littlewood–Paley g λ∗ functionhttp://www.sciencedirect.com/science/article/pii/S2346809216300861 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Hongbin Wang Yihong Wu |
| spellingShingle |
Hongbin Wang Yihong Wu Higher-order commutators of parametrized Littlewood–Paley operators on Herz spaces with variable exponent Transactions of A. Razmadze Mathematical Institute |
| author_facet |
Hongbin Wang Yihong Wu |
| author_sort |
Hongbin Wang |
| title |
Higher-order commutators of parametrized Littlewood–Paley operators on Herz spaces with variable exponent |
| title_short |
Higher-order commutators of parametrized Littlewood–Paley operators on Herz spaces with variable exponent |
| title_full |
Higher-order commutators of parametrized Littlewood–Paley operators on Herz spaces with variable exponent |
| title_fullStr |
Higher-order commutators of parametrized Littlewood–Paley operators on Herz spaces with variable exponent |
| title_full_unstemmed |
Higher-order commutators of parametrized Littlewood–Paley operators on Herz spaces with variable exponent |
| title_sort |
higher-order commutators of parametrized littlewood–paley operators on herz spaces with variable exponent |
| publisher |
Elsevier |
| series |
Transactions of A. Razmadze Mathematical Institute |
| issn |
2346-8092 |
| publishDate |
2017-08-01 |
| description |
Let Ω ∈ L 2 ( S n − 1 ) be a homogeneous function of degree zero and b be a BMO or Lipschitz function. In this paper, we obtain some boundedness of the parametrized Littlewood–Paley operators and their high-order commutators on Herz spaces with variable exponent. Keywords: Herz space, Variable exponent, Commutator, Parametrized area integral, Parametrized Littlewood–Paley g λ∗ function |
| url |
http://www.sciencedirect.com/science/article/pii/S2346809216300861 |
| work_keys_str_mv |
AT hongbinwang higherordercommutatorsofparametrizedlittlewoodpaleyoperatorsonherzspaceswithvariableexponent AT yihongwu higherordercommutatorsofparametrizedlittlewoodpaleyoperatorsonherzspaceswithvariableexponent |
| _version_ |
1716809576792195072 |