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ABSTRACT We establish the vector-valued inequalities of the Ahlfors–Beurling operator on Morrey spaces with variable exponents. As consequences of these inequalities, we have the boundedness of the Ahlfors–Beurling transform on… Click to show full abstract
ABSTRACT We establish the vector-valued inequalities of the Ahlfors–Beurling operator on Morrey spaces with variable exponents. As consequences of these inequalities, we have the boundedness of the Ahlfors–Beurling transform on Lebesgue spaces with variable exponents and Morrey spaces. The results obtained in this paper are new in the case of Morrey spaces.
Keywords:
spaces variable;
ahlfors beurling;
morrey spaces;
variable exponents;
beurling transform
Journal Title: Integral Transforms and Special Functions
Year Published: 2018
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Journal Title: Integral Transforms and Special Functions
Year Published: 2018
Link to full text (if available)
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recommendations!