Two-weight norm estimates for multilinear fractional integrals in classical Lebesgue spaces

DOI10.1515/fca-2015-0066zbMath1326.42020arXiv1407.8197OpenAlexW2467911572MaRDI QIDQ888902

Alexander Meskhi, Vakhtang Kokilashvili, Mieczyslaw Mastylo

Publication date: 3 November 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.8197

zbMATH Keywords

boundednesstrace inequalitymultilinear fractional integralsfractional maximal operatorstwo-weight inequalitiesFefferman-Stein inequalitymultilinear Riesz potential operators

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35)

Related Items (8)

Riesz fractional integrals in grand Lebesgue spaces on \(\mathbb{R}^{n}\) ⋮ Multilinear integral operators in weighted grand Lebesgue spaces ⋮ Boundedness of multilinear Calderón-Zygmund operators on grand variable Herz spaces ⋮ On the boundedness of the multilinear fractional integral operators ⋮ Unnamed Item ⋮ On sharp Olsen's and trace inequalities for multilinear fractional integrals ⋮ On the boundedness of multilinear fractional integral operators ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weighted inequalities and pointwise estimates for the multilinear fractional integral and maximal operators
• New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
• Weighted inequalities for multilinear fractional integral operators
• Weighted estimates for a class of multilinear fractional type operators
• On weighted Lizorkin-Triebel spaces. Singular integrals, multipliers, imbedding theorems
• Multilinear estimates and fractional integration
• The multilinear strong maximal function
• On the boundedness of the multilinear fractional integral operators
• A Two Weight Weak Type Inequality for Fractional Integrals
• TWO-WEIGHT ESTIMATES FOR STRONG FRACTIONAL MAXIMAL FUNCTIONS AND POTENTIALS WITH MULTIPLE KERNELS
• Weighted L p boundedness for multilinear fractional integral on product spaces
• Weighted Inequalities for Fractional Integrals on Euclidean and Homogeneous Spaces
• On multilinear fractional integrals
• A characterization of some weighted norm inequalities for the fractional maximal function
• A characterization of a two-weight norm inequality for maximal operators
• A Simple Proof of the A2 Conjecture
• Weighted Norm Inequalities for the Hardy Maximal Function
• Some remarks on multilinear maps and interpolation
• On weighted dyadic Carleson's inequalities.

This page was built for publication: Two-weight norm estimates for multilinear fractional integrals in classical Lebesgue spaces