Optimal estimates for the gradient of harmonic functions in the multidimensional half-space

Gershon Kresin; Vladimir Maz'ya

doi:10.3934/dcds.2010.28.425

Optimal estimates for the gradient of harmonic functions in the multidimensional half-space

Gershon Kresin
, Vladimir Maz'ya

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

19 ציטוטים ‏(Scopus)

תקציר

A representation of the sharp constant in a pointwise estimate of the gradient of a harmonic function in a multidimensional half-space is obtained under the assumption that function's boundary values belong to L^p. This representation is concretized for the cases p = 1, 2, and ∞.

שפה מקורית	אנגלית
עמודים (מ-עד)	425-440
מספר עמודים	16
כתב עת	Discrete and Continuous Dynamical Systems
כרך	28
מספר גיליון	2
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.3934/dcds.2010.28.425
סטטוס פרסום	פורסם - אוק׳ 2010

גישה למסמך

10.3934/dcds.2010.28.425

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

@article{8f0bb1df736b4a0eaeefc5c4c2c00c96,

title = "Optimal estimates for the gradient of harmonic functions in the multidimensional half-space",

abstract = "A representation of the sharp constant in a pointwise estimate of the gradient of a harmonic function in a multidimensional half-space is obtained under the assumption that function's boundary values belong to Lp. This representation is concretized for the cases p = 1, 2, and ∞.",

keywords = "Estimates of the gradient, Khavinson's problem, Multidimensional harmonic functions, Real-part theorems",

author = "Gershon Kresin and Vladimir Maz'ya",

year = "2010",

month = oct,

doi = "10.3934/dcds.2010.28.425",

language = "אנגלית",

volume = "28",

pages = "425--440",

journal = "Discrete and Continuous Dynamical Systems",

issn = "1078-0947",

publisher = "American Institute of Mathematical Sciences",

number = "2",

}

TY - JOUR

T1 - Optimal estimates for the gradient of harmonic functions in the multidimensional half-space

AU - Kresin, Gershon

AU - Maz'ya, Vladimir

PY - 2010/10

Y1 - 2010/10

N2 - A representation of the sharp constant in a pointwise estimate of the gradient of a harmonic function in a multidimensional half-space is obtained under the assumption that function's boundary values belong to Lp. This representation is concretized for the cases p = 1, 2, and ∞.

AB - A representation of the sharp constant in a pointwise estimate of the gradient of a harmonic function in a multidimensional half-space is obtained under the assumption that function's boundary values belong to Lp. This representation is concretized for the cases p = 1, 2, and ∞.

KW - Estimates of the gradient

KW - Khavinson's problem

KW - Multidimensional harmonic functions

KW - Real-part theorems

UR - https://www.scopus.com/pages/publications/77955847190

U2 - 10.3934/dcds.2010.28.425

DO - 10.3934/dcds.2010.28.425

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:77955847190

SN - 1078-0947

VL - 28

SP - 425

EP - 440

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 2

ER -

Optimal estimates for the gradient of harmonic functions in the multidimensional half-space

תקציר

גישה למסמך

קבצים וקישורים אחרים

טביעת אצבע

פורמט ציטוט ביבליוגרפי