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Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-016-0330-6
Abstract: We establish the boundedness of vector-valued intrinsic square function on Morrey and block spaces with variable exponents.
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Keywords:
spaces variable;
block spaces;
variable exponents;
morrey block ... See more keywords
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Published in 2020 at "Bulletin of the Malaysian Mathematical Sciences Society"
DOI: 10.1007/s40840-020-00913-y
Abstract: In this paper, the authors establish the boundedness of parametrized Littlewood–Paley area integral and $$g^*_\lambda $$ -function, and their high-order commutators on Herz-type Hardy spaces with variable exponent. These results are also new even for…
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Keywords:
spaces variable;
parametrized littlewood;
herz type;
hardy spaces ... See more keywords
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Published in 2018 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2017.1422498
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…
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Keywords:
spaces variable;
ahlfors beurling;
morrey spaces;
variable exponents ... See more keywords
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Published in 2019 at "Journal of Function Spaces"
DOI: 10.1155/2019/7607893
Abstract: In this paper, we obtain the boundedness of bilinear commutators generated by the bilinear Hardy operator and BMO functions on products of Herz spaces and Herz-Morrey spaces with variable exponents.
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Keywords:
spaces variable;
commutators bilinear;
bilinear hardy;
variable exponents ... See more keywords
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Published in 2017 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2017-0055
Abstract: Abstract This is an erratum to the paper “Fractional integral on martingale Hardy spaces with variable exponents”, Fract. Calc. Appl. Anal. 18, No 5 (2015), 1128–1145; DOI: 10.1515/fca-2015-0065.
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Keywords:
spaces variable;
martingale hardy;
variable exponents;
integral martingale ... See more keywords
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Published in 2019 at "Forum Mathematicum"
DOI: 10.1515/forum-2018-0142
Abstract: We establish the mapping properties for some sublinear operators on weighted Hardy spaces with variable exponents by using extrapolation. In particular, we study the Calderón–Zygmund operators, the maximal Bochner–Riesz means, the intrinsic square functions and…
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Keywords:
weighted hardy;
variable exponents;
spaces variable;
hardy spaces ... See more keywords
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Published in 2020 at "Filomat"
DOI: 10.2298/fil2007109s
Abstract: The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators are shown to be controlled by the Hardy-Littlewood maximal operator. The Sz?sz-Mirakjan-Kantorovich operators and the Baskakov-Kantorovich operators turn out to be uniformly bounded in Lebesgue spaces and Morrey…
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Keywords:
kantorovich operators;
morrey spaces;
spaces variable;
mirakjan kantorovich ... See more keywords
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Published in 2017 at "Canadian Journal of Mathematics"
DOI: 10.4153/cjm-2016-053-6
Abstract: Abstract In this paper we introduce Hardy-Lorentz spaces with variable exponents associated with dilations in ${{\mathbb{R}}^{n}}$ . We establish maximal characterizations and atomic decompositions for our variable exponent anisotropic Hardy-Lorentz spaces.
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Keywords:
spaces variable;
lorentz spaces;
hardy lorentz;
anisotropic hardy ... See more keywords