Poisson type inequalities with respect to a cone and their applications

DOI10.1186/S13660-017-1387-YzbMath1369.31010OpenAlexW2614382740WikidataQ33695245 ScholiaQ33695245MaRDI QIDQ2396727

Yanyan Li

Publication date: 24 May 2017

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-017-1387-y

zbMATH Keywords

harmonic functionsintegral representationsPoisson type inequalities

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (2)

New Poisson-Sch type inequalities and their applications in quantum calculus ⋮ Retraction note: ``A new application of boundary integral behaviors of harmonic functions to the least harmonic majorant

Cites Work

• A note on the boundary behavior for a modified Green function in the upper-half space
• Convexity of means and growth of certain subharmonic functions in an n- dimensional cone
• Estimates of harmonic measure
• Elliptic Partial Differential Equations of Second Order
• Generalization of a theorem of Hayman on subharmonic functions in an 𝑚-dimensional cone
• Notions of convexity
• An application of the inequality for modified Poisson kernel
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