Numerical interpretation of the Gurov-Reshetnyak inequality on the real axis

DOI10.1007/s11253-017-1334-6zbMath1496.47029OpenAlexW2620615530MaRDI QIDQ1729403

Anatolii A. Korenovskyi, Viktor D. Didenko, Nor Jaidi Tuah

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1334-6

zbMATH Keywords

normpower functionGurov-Reshetnyak class

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities for sums, series and integrals (26D15)

Cites Work

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• The Gurov-Reshetnyak inequality on semi-axes
• Extension of functions with bounded mean oscillation
• Mean oscillations of the logarithmic function
• Higher integrability results and Hölder continuity
• Higher integrability results
• An analogue of the concept of functions with bounded mean oscillation
• The Gurov-Reshetnyak condition and VMO
• A note on the Gurov-Reshetnyak condition.
• Mean oscillations and equimeasurable rearrangements of functions
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• A Mean Oscillation Inequality
• Remarks on the stability of reverse Hölder inequalities and quasiconformal mappings
• Note on a theorem by Reshetnyak-Gurov
• Relation between the Gurov-Reshetnyak and the Muckenhoupt function classes
• On L^p-integrability in PDE's and quasiregular mappings for large exponents

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