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The Weighted Grand Lebesgue Class of Harmonic Functions and the Dirichlet Problem

dc.contributor.authorBilalov, B. T.
dc.contributor.authorAhmedzade, N. R.
dc.contributor.authorKasumov, Z. A.
dc.date.accessioned2026-06-27T15:25:39Z
dc.date.issued2025
dc.description.abstractIn this paper, we introduce the weighted grand Lebesgue class h(p))(;w) of harmonic function in unit ball omega={z is an element of C:|z| (+)=[0,+infinity]satisfy the A(p) Muckenhoupt condition. It is proved the unique solvability of the Dirichlet problem for La place equation with an arbitrary boundary value from weighted grand Lebesgue space L-p);w(partial derivative omega)on partial derivative omega.en
dc.description.sponsorshipAzerbaijan Science Foundation [AEF-MQM-QA-1-2021-4(41)-8/02/1-M-02, AEF-MGC-2024-2(50)-16/02/1-M-02]
dc.description.urihttps://doi.org/10.1134/s1995080224608129
dc.identifier.doi10.1134/s1995080224608129
dc.identifier.eissn1818-9962
dc.identifier.endpage387
dc.identifier.issn1995-0802
dc.identifier.issue1
dc.identifier.startpage377
dc.identifier.urihttps://hdl.handle.net/20.500.14981/70855
dc.identifier.volume46
dc.identifier.wos001560902800033
dc.language.isoeng
dc.publisherPLEIADES PUBLISHING LTD
dc.relation.ispartofLOBACHEVSKII JOURNAL OF MATHEMATICS
dc.subjectweighted grand Lebesgue space
dc.subjectharmonic functions
dc.subjectMuckenhoupt class
dc.subjectDirichlet problem
dc.subjectPIECEWISE-LINEAR PHASE
dc.subjectMIXED PROBLEM
dc.subjectBOUNDARY-VALUE
dc.subjectLAPLACE EQUATION
dc.subjectSOLVABILITY
dc.subjectSYSTEM
dc.subjectEXPONENTS
dc.subjectBASICITY
dc.subjectSPACES
dc.subjectMathematics
dc.titleThe Weighted Grand Lebesgue Class of Harmonic Functions and the Dirichlet Problem
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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