Boundedness of vector-valued sublinear operators on weighted Herz-Morrey spaces with variable exponents

Abstract

If vector-valued sublinear operators satisfy the size condition and the vector-valued inequality on weighted Lebesgue spaces with variable exponent, then we obtain their boundedness on weighted Herz-Morrey spaces with variable exponents.

Keywords

• subilinear operator
• vector-valued inequality
• muckenhoupt weight
• variable exponent
• herz-morrey space
• 42b25
• 42b35