Weighted estimates for certain rough operators with applications to vector valued inequalities

Weighted estimates for certain rough operators with applications to vector valued inequalities

Under certain rather weak size conditions assumed on the kernels, some weighted norm inequalities for singular integral operators, related maximal operators, maximal truncated singular integral operators and Marcinkiewicz integral operators in nonisotropic setting will be shown. These weighted norm...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2021, 58(4), , pp.1035-1058
Hauptverfasser: Feng Liu, Qingying Xue
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:Under certain rather weak size conditions assumed on the kernels, some weighted norm inequalities for singular integral operators, related maximal operators, maximal truncated singular integral operators and Marcinkiewicz integral operators in nonisotropic setting will be shown. These weighted norm inequalities will enable us to obtain some vector valued inequalities for the above operators. KCI Citation Count: 0
ISSN:0304-9914
2234-3008
DOI:10.4134/JKMS.j200450