BOUNDEDNESS OF THE COMMUTATOR OF THE INTRINSIC SQUARE FUNCTION IN VARIABLE EXPONENT SPACES

作者：Wang, Liwei^*

来源：Journal of the Korean Mathematical Society, 2018, 55(4): 939-962.

DOI：10.4134/JKMS.j170540

• the intrinsic square function
• commutator
• variable exponents
• Morrey spaces
• Herz type spaces

In this paper, we show that the commutator of the intrinsic square function with BMO symbols is bounded on the variable exponent Lebesgue spaces L-p(.) (R-n) applying a generalization of the classical Rubio de Francia extrapolation. As a consequence we further establish its boundedness on the variable exponent Morrey spaces M-p(.), u, Morrey-Herz spaces M (K) over dot(q, p(.))(alpha(.),) (lambda) (R-n) and Herz type Hardy spaces H (K) over dot (alpha(+), q)(p(.)) (R-n), where the exponents alpha(.) and p(.) are variable. Observe that, even when alpha(.) alpha is constant, the corresponding main results are completely new.

• 出版日期2018
• 单位安徽工程大学