Abstract
<abstract><p>In this paper, we discuss the boundedness of bilinear $ \theta $-type Calderón-Zygmund operators on the generalized variable exponent Morrey spaces. In addition, the corresponding results of commutators generated by bilinear $ \theta $-type Calderón-Zygmund operators with BMO functions on these spaces is also obtained.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference37 articles.
1. L. Peng, Generalized Calderón-Zygmund operators and their weighted norm inequalities, Adv. Math., 14 (1985), 97–115.
2. Y. Yang, S. Tao, $\theta$-Type Calderón-Zygmund operators and commutators in variable exponents Herz space, Open Math., 16 (2018), 1607–1620. http://dx.doi.org/10.1515/math-2018-0133
3. Y. Yang, S. Tao, $\theta$-Type Calderón-Zygmund operators on Morrey and Morrey-Herz-type Hardy spaces with variable exponents, U.P.B. Sci. Bull., Series A, 82 (2020), 35–44.
4. V. Guliyev, Calderón-Zygmund operators with kernels of Dini's type on generalized weighted variable exponent Morrey spaces, Positivity, 25 (2021), 1771–1788. http://dx.doi.org/10.1007/s11117-021-00846-1
5. K. Yabuta, Generalizations of Calderón-Zygmund operators, Studia Math., 82 (1985), 17–31.
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