HERZ-MORREY TYPE BESOV AND TRIEBEL-LIZORKIN SPACES WITH VARIABLE EXPONENTS

作者：Dong, Baohua; Xu, Jingshi^*

来源：Banach Journal of Mathematical Analysis, 2015, 9(1): 75-101.

DOI：10.15352/bjma/09-1-7

• Variable exponent
• Herz-Morrry space
• Besov space
• Triebel-Lizorkin space
• maximal operator

In the article, the boundedness of vector-valued sublinear operators in Herz-Morrey spaces with variable exponents M(K) over dot(q,p(.))(alpha(.),lambda)(R-n) are obtained. Then Herz-Morrey type Besov and Triebel-Lizorkin spaces with variable exponents are introduced. Finally, we prove the equivalent quasi-norms on these spaces by Peetre's maximal operators.

• 出版日期2015
• 单位海南师范大学