Geometric Hardy Inequalities on Stratified Groups

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dc.contributor.authorMichael Ruzhansky;
dc.contributor.authorDurvudkhan Suragan
dc.date.accessioned2025-08-12T11:09:12Z
dc.date.available2025-08-12T11:09:12Z
dc.date.issued2019
dc.description.abstractGiven a domain in the space, the ‘geometric’ version of Hardy inequalities usually refers to the Hardy type inequalities where the weight is given in terms of the distance to the boundary of the domain. In this chapter we discuss L² and Lᵖ versions of the geometric Hardy inequality on the stratified group 𝔊. For the clarity of the exposition, we first deal with the half-space domains, and then with more general convex domains.
dc.identifier.citationRuzhansky, M.; Suragan, D. (2019). Geometric Hardy Inequalities on Stratified Groups. In: Hardy Inequalities on Homogeneous Groups, Progress in Mathematics, vol. 327, pp. 373–388. DOI: 10.1007/978-3-030-02895-4_9
dc.identifier.urihttps://nur.nu.edu.kz/handle/123456789/9185
dc.language.isoen
dc.subjectgeometric Hardy inequality
dc.subjectstratified groups
dc.subjectboundary distance weight
dc.subjectL² inequality
dc.subjectLᵖ inequality
dc.subjectconvex domains
dc.titleGeometric Hardy Inequalities on Stratified Groups
dc.typeBook chapter

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