Mathematical Analysis and Convex Optimization
آنالیز ریاضی و بهینه سازی محدب
MACO
Basic Sciences
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Boundedness of Mikhlin Operator in Variable Exponent Morrey Space
Mathematical Analysis
پژوهشي
Research Article
S. G. Mikhlin proved the boundedness of the Fourier multiplier operator in the classical Lebesgue space if the multiplier function is a bounded function. In cite{MWW}, the authors obtained the same result of the classical Morrey space. In this paper, we prove that Mikhlin operator with bounded multiplier function is bounded operator on Morrey space with variable exponent which is containing the classical Lebesgue space with variable exponent and the classical Morrey space.
Fourier multiplier operator, variable exponent Morrey space, bounded operator.
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85
http://maco.lu.ac.ir/browse.php?a_code=A-10-101-1&slc_lang=en&sid=1
Morteza
Koozehgar Kalleji
m-koozehgarkalleji@araku.ac.ir
1003194753284600782
1003194753284600782
Yes
Arak University