John-Lowner Ellipsoids and Entropy of Multiplier Operators on Rank 1 Compact Homogeneous Manifolds
| dc.contributor.author | Kushpel, A. K. | |
| dc.date.accessioned | 2025-06-05T21:56:23Z | |
| dc.date.available | 2025-06-05T21:56:23Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | We present a new method of the evaluation of entropy, which is based on volume estimates for John-Lowner ellipsoids induced by the eigenfunctions of Laplace-Beltrami operator on compact homogeneous manifolds M-d of rank 1. This approach gives the sharp orders of entropy in the situations where the known methods meet difficulties of fundamental nature. In particular, we calculate the sharp orders of the entropy of the Sobolev classes W-p(gamma) (M-d), gamma> 0, in L-q(M-d), 1 <= q <= p <= infinity. Bibliography: 35 titles. | en_US |
| dc.identifier.doi | 10.4213/sm9656e | |
| dc.identifier.issn | 1064-5616 | |
| dc.identifier.issn | 1468-4802 | |
| dc.identifier.scopus | 2-s2.0-105004912136 | |
| dc.identifier.uri | https://doi.org/10.4213/sm9656e | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10122 | |
| dc.language.iso | en | en_US |
| dc.publisher | Steklov Mathematical inst, Russian Acad Sciences | en_US |
| dc.relation.ispartof | Sbornik: Mathematics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | John-Lowner Ellipsoid | en_US |
| dc.subject | Entropy | en_US |
| dc.subject | Riemannian Manifold | en_US |
| dc.subject | Volume | en_US |
| dc.title | John-Lowner Ellipsoids and Entropy of Multiplier Operators on Rank 1 Compact Homogeneous Manifolds | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Kushpel, A. K. | |
| gdc.bip.impulseclass | C5 | |
| gdc.bip.influenceclass | C5 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kushpel, A. K.] Cankaya Univ, Dept Math, Ankara, Turkiye | en_US |
| gdc.description.endpage | 238 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 210 | en_US |
| gdc.description.volume | 216 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W4409492982 | |
| gdc.identifier.wos | WOS:001487976300003 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 0.0 | |
| gdc.oaire.influence | 2.4895952E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Harmonic analysis on homogeneous spaces | |
| gdc.oaire.keywords | Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) | |
| gdc.oaire.keywords | volume | |
| gdc.oaire.keywords | Riemannian manifold | |
| gdc.oaire.keywords | John-Löwner ellipsoid | |
| gdc.oaire.keywords | Function spaces arising in harmonic analysis | |
| gdc.oaire.keywords | entropy | |
| gdc.oaire.keywords | Multipliers for harmonic analysis in several variables | |
| gdc.oaire.keywords | Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis | |
| gdc.oaire.keywords | Harmonic analysis and spherical functions | |
| gdc.oaire.keywords | Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators | |
| gdc.oaire.popularity | 2.7494755E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.openalex.collaboration | National | |
| gdc.openalex.fwci | 0.0 | |
| gdc.openalex.normalizedpercentile | 0.14 | |
| gdc.openalex.toppercent | TOP 10% | |
| gdc.opencitations.count | 0 | |
| gdc.plumx.scopuscites | 0 | |
| gdc.scopus.citedcount | 0 | |
| gdc.virtual.author | Kushpel, Alexander | |
| gdc.wos.citedcount | 0 | |
| relation.isAuthorOfPublication | f21041fa-3245-41c4-9000-2783cb0b44d7 | |
| relation.isAuthorOfPublication.latestForDiscovery | f21041fa-3245-41c4-9000-2783cb0b44d7 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |