scientific article; zbMATH DE number 700373

zbMath0819.42007MaRDI QIDQ4315307

Amiran Gogatishvili, Vakhtang Kokilashvili

Publication date: 8 December 1994

Full work available at URL: https://eudml.org/doc/47220

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zbMATH Keywords

weighted inequalitiesOrlicz classeshomogeneous type spacesMuckenhoupt \(A_ p\)-classscalar and vector-valued maximal functions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Inequalities for sums, series and integrals (26D15)

Related Items (15)

Estimates for operators on generalized weighted Orlicz-Morrey spaces and their applications to non-divergence elliptic equations ⋮ Calderón–Zygmund operators and their commutators on generalized weighted Orlicz–Morrey spaces ⋮ Local potential operator and uniform resolvent estimate for generalized Schrödinger operator in Orlicz spaces ⋮ Riesz potential and its commutators on generalized weighted Orlicz–Morrey spaces ⋮ A unified version of weighted weak type inequalities for one-sided maximal function on \({\mathbb{R}}^2\) ⋮ Approximating polynomials for functions of weighted Smirnov-Orlicz spaces ⋮ A weighted weak-type inequality for one-sided maximal operators ⋮ Global Orlicz regularity for sub-Laplace equations on homogeneous groups ⋮ Unnamed Item ⋮ Criteria of a multi-weight weak type inequality in Orlicz classes for maximal functions defined on homogeneous type spaces ⋮ Regularity in Orlicz spaces for non-divergence degenerate elliptic equations on homogeneous groups ⋮ Unnamed Item ⋮ Regularity in Orlicz spaces for nondivergence degenerate elliptic equations in Carnot groups ⋮ Modulars from Nakano onwards ⋮ Jackson type inequalities for differentiable functions in weighted Orlicz spaces

Cites Work

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• Weighted Hardy spaces
• Orlicz spaces for which the Hardy-Littlewood maximal operator is bounded
• Weighted Norm Inequalities for the Hardy-Littlewood Maximal Operator on Spaces of Homogeneous Type
• Integral inequalities with weights for the Hardy maximal function
• Weighted norm inequalities for L'-valued integral operators and applications
• Two-weight weak type maximal inequalities in Orlicz classes
• Extensions of Hardy spaces and their use in analysis
• Weak and extra-weak type inequalities for the maximal operator and the Hilbert transform
• Weighted Orlicz space integral inequalities for the Hardy-Littlewood maximal operator
• Some Maximal Inequalities

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