The Weighted Grand Herz-Morrey-Lizorkin-Triebel Spaces with Variable Exponents

2025/02/19 by Wang, Shengrong, Guo, Pengfei, Xu, Jingshi
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2502.14015

Abstract

Let a vector-valued sublinear operator satisfy the size condition and be bounded on weighted Lebesgue spaces with variable exponent. Then we obtain its boundedness on weighted grand Herz-Morrey spaces with variable exponents. Next we introduce weighted grand Herz-Morrey-Triebel-Lizorkin spaces with variable exponents and provide their equivalent quasi-norms via maximal functions.

Related

• Grand variable Herz-Morrey type Besove spaces and Triebel-Lizorkin spaces
• The boundedness of commutators of sublinear operators on Herz Triebel-Lizorkin spaces with variable exponent
• Multilinear Hausdorff operators on some function spaces with variable exponent
• Weighted estimates for commutators of multilinear Hausdorff operators on\n variable exponent Morrey-Herz type spaces
• An intrinsic square function on weighted Herz spaces with variable exponent