Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces
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DOI: 10.1007/s11117-021-00810-z
Abstract: In this paper, we study Sobolev type inequalities for fractional maximal functions in the half space. We also discuss Sobolev type inequalities for Green potentials in the half space. read more here.
Keywords: inequalities fractional; type inequalities; green potentials; fractional maximal ... See more keywords
Characterizations for the fractional maximal operator and its commutators in generalized weighted Morrey spaces on Carnot groups
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DOI: 10.1007/s13324-020-00360-9
Abstract: In this paper, we shall give a characterization for the strong and weak type Spanne type boundedness of the fractional maximal operator $$M_{\alpha }$$ , $$0\le \alpha read more here.
Keywords: morrey spaces; weighted morrey; fractional maximal; generalized weighted ... See more keywords
Fractional maximal operator in Orlicz spaces
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DOI: 10.1016/j.jmaa.2019.01.034
Abstract: Abstract This work studies the fractional maximal operator acting between Orlicz spaces. The necessary and sufficient conditions for the existence of optimal target and domain spaces are established and the explicit formulas for corresponding optimal… read more here.
Keywords: fractional maximal; orlicz spaces; operator orlicz; maximal operator ... See more keywords
Some notes on commutators of the fractional maximal function on variable Lebesgue spaces
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DOI: 10.1186/s13660-019-1960-7
Abstract: Let 0 read more here.
Keywords: lebesgue spaces; fractional maximal; maximal function; variable lebesgue ... See more keywords
Regularity of one-sided multilinear fractional maximal functions
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DOI: 10.1515/math-2018-0129
Abstract: Abstract In this paper we introduce and investigate the regularity properties of one-sided multilinear fractional maximal operators, both in continuous case and in discrete case. In the continuous setting, we prove that the one-sided multilinear… read more here.
Keywords: one sided; multilinear fractional; fractional maximal; sided multilinear ... See more keywords
On the regularity of one-sided fractional maximal functions
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DOI: 10.1515/ms-2017-0171
Abstract: Abstract In this paper we investigate the regularity properties of one-sided fractional maximal functions, both in continuous case and in discrete case. We prove that the one-sided fractional maximal operators ℳβ+$ \mathcal{M}_{\beta}^{+} $ and ℳβ-$… read more here.
Keywords: maximal functions; one sided; mathbb mathbb; sided fractional ... See more keywords