Results 71 to 80 of about 102 (90)
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Boyd Indices in Generalized Grand Lebesgue Spaces and Applications
Mediterranean Journal of Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FORMICA, MARIA ROSARIA, GIOVA, Raffaella
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Riesz Fractional Integrals in Grand Lebesgue Spaces on ℝn
Fractional Calculus and Applied Analysis, 2016We introduce conditions on the construction of grand Lebesgue spaces on R-n which imply the validity of the Sobolev theorem for the Riesz fractional integrals I-alpha and the boundedness of the maximal operator, in such spaces. We also give an inversion of the operator I-alpha by means of hypersingular integrals, within the frameworks of the introduced
Samko, Stefan, Umarkhadzhiev, Salaudin
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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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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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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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Hardy–Littlewood Maximal Operator in Weighted Grand Variable Exponent Lebesgue Space
Mediterranean Journal of Mathematics, 2017Vakhtang Kokilashvili +2 more
exaly
Hardy Inequality in Variable Grand Lebesgue Spaces for Nonincreasing Functions
Mathematical Notes, 2023exaly