Two-weighted norm inequalities of singular integral operators on local Morrey spaces
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 3, pp. 253-261
Kwok-Pun Ho; Kwok-Pun Ho. Two-weighted norm inequalities of singular integral operators on local Morrey spaces. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 3, pp. 253-261. http://geodesic.mathdoc.fr/item/AMUC_2023_92_3_a4/
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     author = {Kwok-Pun Ho and Kwok-Pun Ho},
     title = { Two-weighted norm inequalities of singular integral operators on local {Morrey} spaces},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {253--261},
     year = {2023},
     volume = {92},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_3_a4/}
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In this paper, we extend the two-weighted norm inequalities of singular integral operators to local Morrey spaces. This gives the mapping properties of singular integral operators from weighted local Morrey spaces to other local Morrey spaces with different weight. As application of this result, we extend the Córdoba-Fefferman inequalities to weighted local Morrey spaces.