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Sobolev type inequalities for fractional maximal functions and Green potentials in half spaces

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0 Published in 2021 at "Positivity"

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

Extremals for Hardy-Sobolev type inequalities with monomial weights

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0 Published in 2021 at "Journal of Mathematical Analysis and Applications"

DOI: 10.1016/j.jmaa.2020.124645

Abstract: Abstract In this article we study the existence and non-existence of extremals for the following family of Hardy-Sobolev inequalities ( ∫ ( R + ) k × R N − k | x B u… read more here.

Keywords: extremals hardy; type inequalities; inequalities monomial; hardy sobolev ... See more keywords

Solvability of Nonlocal Problems for Systems of Sobolev-Type Differential Equations with a Multipoint Condition

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0 Published in 2019 at "Russian Mathematics"

DOI: 10.3103/s1066369x19120016

Abstract: We consider a nonlocal problem for a system of loaded differential equations of the Sobolev type with a multipoint constraint. By introducing additional unknown functions, we reduce the problem under consideration to an equivalent problem… read more here.

Keywords: sobolev type; problem system; differential equations; problem ... See more keywords

An Analysis of the Recurrence Coefficients for Symmetric Sobolev-Type Orthogonal Polynomials

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0 Published in 2021 at "Symmetry"

DOI: 10.3390/sym13040534

Abstract: In this contribution we obtain some algebraic properties associated with the sequence of polynomials orthogonal with respect to the Sobolev-type inner product:p,qs=∫Rp(x)q(x)dμ(x)+M0p(0)q(0)+M1p′(0)q′(0), where p,q are polynomials, M0, M1 are non-negative real numbers and μ is… read more here.

Keywords: analysis recurrence; recurrence coefficients; sobolev type; recurrence ... See more keywords