Bilinear weighted inequalities with two-dimensional operators

DOI10.1134/S1064562420050415zbMath1481.26018OpenAlexW3118958991MaRDI QIDQ2243798

Vladimir D. Stepanov, Guldarya E. Shambilova

Publication date: 11 November 2021

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562420050415

zbMATH Keywords

weighted Lebesgue spacetwo-dimensional Hardy operatorbilinear inequality

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) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• On a class of weighted inequalities containing quasilinear operators
• Weighted bilinear Hardy inequalities
• Bilinear Hardy-Steklov operators
• Positive multilinear operators acting on weighted \(L^p\) spaces
• On bilinear Hardy-Steklov operators
• Bilinear weighted inequalities with Volterra integral operators
• Weighted inequalities for the Sawyer two-dimensional Hardy operator and its limiting geometric mean operator
• Weighted inequalities for the two-dimensional Hardy operator
• Iterating Bilinear Hardy Inequalities
• Multidimensional bilinear Hardy inequalities
• Some multi-dimensional Hardy type integral inequalities
• Multidimensional bilinear Hardy inequalities
• Multidimensional bilinear Hardy inequalities
• A multilinear Schur test and multiplier operators

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