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Higher order commutators of fractional integrals on Morrey type spaces with variable exponents
Abstract:Based on the theory of variable exponent and BMO norms, we prove some boundedness results for the m‐th order commutators of the fractional integrals on variable exponent Morrey and Morrey–Herz spaces. Even in the special case of urn:x-wiley:0025584X:media:mana201600438:mana201600438-math-0001, the main results obtained are also new.
Keywords:commutators  fractional integrals  Morrey spaces  Morrey–  Herz spaces  variable exponents  Primary: 42B35  Secondary: 42B25  46E35
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