Please use this identifier to cite or link to this item:
https://research.matf.bg.ac.rs/handle/123456789/1303
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Melentijević, Petar | en_US |
dc.date.accessioned | 2024-06-17T12:14:21Z | - |
dc.date.available | 2024-06-17T12:14:21Z | - |
dc.date.issued | 2024-04-01 | - |
dc.identifier.issn | 00255831 | - |
dc.identifier.uri | https://research.matf.bg.ac.rs/handle/123456789/1303 | - |
dc.description | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: <a href="http://dx.doi.org/10.1007/s00208-023-02639-1">http://dx.doi.org/10.1007/s00208-023-02639-1</a> | en_US |
dc.description.abstract | In this paper we address the problem of finding the best constants in inequalities of the form: (Formula presented.) where P+f and P-f denote analytic and co-analytic projection of a complex-valued function f∈Lp(T), for p≥2 and all s>0, thus proving Hollenbeck–Verbitsky conjecture from (Oper Theory Adva Appl 202:285–295, 2010). We also prove the same inequalities for 1<p≤43 and s≤sec2π2p and confirm that s=sec2π2p is the sharp cutoff for s. The proof uses a method of plurisubharmonic minorants and an approach of proving the appropriate “elementary” inequalities that seems to be new in this topic. We show that this result implies best constants inequalities for the projections on the real-line and half-space multipliers on Rn and an analog for analytic martingales. A remark on an isoperimetric inequality for harmonic functions in the unit disk is also given. | en_US |
dc.relation.ispartof | Mathematische Annalen | en_US |
dc.subject | Primary 35B30 | en_US |
dc.subject | Secondary 35J05 | en_US |
dc.title | Hollenbeck–Verbitsky conjecture on best constant inequalities for analytic and co-analytic projections | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1007/s00208-023-02639-1 | - |
dc.identifier.scopus | 2-s2.0-85160246333 | - |
dc.identifier.isi | 000994452600001 | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/85160246333 | - |
dc.relation.issn | 0025-5831 | en_US |
dc.description.rank | M21 | en_US |
dc.relation.firstpage | 4405 | en_US |
dc.relation.lastpage | 4448 | en_US |
dc.relation.volume | 388 | en_US |
dc.relation.issue | 4 | en_US |
item.fulltext | With Fulltext | - |
item.openairetype | Article | - |
item.grantfulltext | embargo_restricted_20250430 | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
crisitem.author.orcid | 0000-0003-4343-7459 | - |
Appears in Collections: | Research outputs |
Files in This Item:
File | Description | Size | Format | Existing users please |
---|---|---|---|---|
Math_Ann.pdf | 564.95 kB | Adobe PDF | Request a copy |
SCOPUSTM
Citations
5
checked on Nov 7, 2024
Page view(s)
26
checked on Nov 14, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.