Vector valued bilinear Calderón-Zygmund operators with kernels of Dini's type in variable exponents Herz-Morrey spaces-Reference-Cited by-同舟云学术

Vector valued bilinear Calderón-Zygmund operators with kernels of Dini's type in variable exponents Herz-Morrey spaces

Published:2023 Issue:11 Volume:8 Page:25688-25713
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Yang Yanqi¹²,Wu Qi¹

Affiliation:

1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

2. Hubei Key Laboratory of Applied Mathematics (Hubei University), Wuhan 430062, China

Abstract

<abstract><p>The main purpose of this paper is to establish the weighted boundedness result of vector valued bilinear $ \varpi(t) $-type Calderón-Zygmund operators in variable exponents Herz-Morrey spaces, where $ \varpi $ being nondecreasing and $ \varpi\in \rm{Dini}(1) $.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference13 articles.

1. K. Yabuta, Generalizations of Calderón-Zygmund operators, Stud. Math., 82 (1985), 17–31. https://doi.org/10.4064/SM-82-1-17-31

2. D. Maldonado, V. Naibo, Weighted norm inequalities for paraproducts and bilinear pseudodifferential operators with mild regularity, J. Fourier Anal. Appl., 15 (2009), 218–261. https://doi.org/10.1007/s00041-008-9029-x

3. G. Lu, P. Zhang, Multilinear Calderón-Zygmund operators with kernels of Dini's type and applications, Nonlinear Anal., 107 (2014), 92–117. https://doi.org/10.1016/j.na.2014.05.005

4. A. Nekvinda, Hardy-Littlewood maximal operator on $L^{p(x)}(\mathbb{R}^{n})$, Math. Inequal. Appl., 7 (2004), 255–265.

5. D. Cruz-Uribe, A. Fiorenza, C. J. Neugebauer, Weighted norm inequalities for the maximal operator on variable Lebesgue spaces, J. Math. Anal. Appl., 394 (2012), 744–760. https://doi.org/10.1016/j.jmaa.2012.04.044