Results 101 to 110 of about 4,196 (115)
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Sawyer's duality principle for grand Lebesgue spaces
Mathematische Nachrichten, 2018AbstractThe aim of this paper is to extend Sawyer's duality principle from the cone of decreasing functions of the Lebesgue space to the cone of decreasing functions of the grand Lebesgue space and to prove the boundedness of classical Hardy operators in the grand Lebesgue spaces.
Jain, Pankaj +3 more
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Grand Lebesgue spaces without grandizers
Georgian Mathematical JournalAbstract We adapt the standard norm of grand Lebesgue spaces (Euclidean case, Lebesgue measure) to the case of functions defined on a domain Ω with possibly infinite measure, basically dropping the mean in the integral appearing in the norm of Lebesgue spaces.
Claudia Capone +2 more
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Singular Integrals and Potentials in Grand Lebesgue Spaces
2016This chapter deals with mapping properties of maximal, singular integral, and potential operators in weighted generalized grand Lebesgue spaces. Weak and strong type weighted inequalities criteria for these operators (including similar integral transform with product kernels) are established.
Vakhtang Kokilashvili +3 more
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Inequalities with conjugate exponents in grand Lebesgue spaces
2013In this paper we want to show the validity of the generalized doubleparametric Hilbert inequality with conjugate exponents in the framework of grand Lebesgue spaces as a particular case of a more general result involving an homogeneous kernel. We also study the boundedness of an integral operator with the aforementioned kernel.
CASTİLLO, René Erlín +1 more
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Local grand Lebesgue spaces on quasi-metric measure spaces and some applications
Positivity, 2022Humberto Rafeiro +2 more
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Fractional integrals with measure in grand Lebesgue and Morrey spaces
Integral Transforms and Special Functions, 2021Vakhtang Kokilashvili, Alexander Meskhi
exaly
Sobolev‐type inequalities for potentials in grand variable exponent Lebesgue spaces
Mathematische Nachrichten, 2019David E Edmunds +2 more
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A Note on the Boundedness of the Hilbert Transform in Weighted Grand Lebesgue Spaces
Georgian Mathematical Journal, 2009Vakhtang Kokilashvili, Alexander Meskhi
exaly
On Hardy type inequalities in grand Lebesgue spacesLp)for 0 <p≤ 1
Linear and Multilinear Algebra, 2022exaly
Maximal and Calderón–Zygmund operators in grand variable exponent Lebesgue spaces
Georgian Mathematical Journal, 2014Vakhtang Kokilashvili, Alexander Meskhi
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