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
On Some Hermite–Hadamard Inequalities for Fractional Integrals and their Applications
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DOI: 10.1007/s11253-020-01793-y
Abstract: UDC 517.5 We establish some new extensions of Hermite\,--\,Hadamard inequality for fractional integrals and present several applications for the Beta function. read more here.
Keywords: inequalities fractional; hadamard inequalities; integrals applications; fractional integrals ... See more keywords
Two weighted inequalities for fractional integrals on Laguerre hypergroup
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DOI: 10.1080/10652469.2016.1261339
Abstract: ABSTRACT Let be the Laguerre hypergroup which is the fundamental manifold of the radial function space for the Heisenberg group, its homogeneous norm and Q its homogeneous dimension. In this paper we prove the two… read more here.
Keywords: integrals laguerre; laguerre hypergroup; inequalities fractional; fractional integrals ... See more keywords
DIOPHANTINE INEQUALITIES OF FRACTIONAL DEGREE
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DOI: 10.1112/mtk.12112
Abstract: This paper is concerned with the study of diagonal Diophantine inequalities of fractional degree θ, where θ > 2 is real and non-integral. For fixed non-zero real numbers λi not all of the same sign… read more here.
Keywords: number; fractional degree; inequalities fractional; diophantine inequalities ... See more keywords
Weighted inequalities for fractional Hardy operators and commutators
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DOI: 10.1186/s13660-019-2108-5
Abstract: In this paper, we introduce a fractional maximal operators Nα$N_{\alpha }$ on (0,∞)$(0,\infty )$ associated to the fractional Hardy operator Pα$P_{\alpha }$ and its dual Qα,0≤α read more here.
Keywords: hardy; operators commutators; inequalities fractional; fractional hardy ... See more keywords
Uniqueness of the trivial solution of some inequalities with fractional Laplacian
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DOI: 10.14232/ejqtde.2019.1.1
Abstract: We obtain sufficient conditions for the uniqueness of the trivial solution for some classes of nonlinear partial differential inequalities containing the fractional powers of the Laplace operator. read more here.
Keywords: solution inequalities; fractional laplacian; inequalities fractional; trivial solution ... See more keywords
Hardy inequalities for the fractional powers of the Grushin operator
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DOI: 10.3934/cpaa.2020192
Abstract: We establish uncertainty principles and Hardy inequalities for the fractional Grushin operator, which are reduced to those inequalities for the fractional generalized sublaplacian. The key ingredients to obtain them are an explicit integral representation and… read more here.
Keywords: inequalities fractional; grushin operator; fractional powers; powers grushin ... See more keywords