Sharp estimates for the gradient of the generalized Poisson integral for a half-space

Gershon Kresin; Vladimir Maz'Ya

doi:10.1515/gmj-2018-0026

Sharp estimates for the gradient of the generalized Poisson integral for a half-space

Gershon Kresin
, Vladimir Maz'Ya

מתמטיקה

פרסום מחקרי: פרסום בכתב עת › מאמר › ביקורת עמיתים

1 ציטוט ‏(Scopus)

תקציר

A representation of the sharp coefficient in a pointwise estimate for the gradient of the generalized Poisson integral of a function f on ℝn is obtained under the assumption that f belongs to L p Lp . The explicit value of the coefficient is found for the cases p = 1 {p=1} and p = 2 p=2} .

שפה מקורית	אנגלית
עמודים (מ-עד)	283-290
מספר עמודים	8
כתב עת	Georgian Mathematical Journal
כרך	25
מספר גיליון	2
מזהי עצם דיגיטלי (DOIs)	https://doi.org/10.1515/gmj-2018-0026
סטטוס פרסום	פורסם - 1 יוני 2018

גישה למסמך

10.1515/gmj-2018-0026

קבצים וקישורים אחרים

Link to publication in Scopus

פורמט ציטוט ביבליוגרפי

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title = "Sharp estimates for the gradient of the generalized Poisson integral for a half-space",

abstract = "A representation of the sharp coefficient in a pointwise estimate for the gradient of the generalized Poisson integral of a function f on ℝn is obtained under the assumption that f belongs to L p Lp . The explicit value of the coefficient is found for the cases p = 1 \{p=1\} and p = 2 p=2\} .",

keywords = "Generalized Poisson integral, half-space, sharp estimate for the gradient",

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

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year = "2018",

month = jun,

day = "1",

doi = "10.1515/gmj-2018-0026",

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AU - Kresin, Gershon

AU - Maz'Ya, Vladimir

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N2 - A representation of the sharp coefficient in a pointwise estimate for the gradient of the generalized Poisson integral of a function f on ℝn is obtained under the assumption that f belongs to L p Lp . The explicit value of the coefficient is found for the cases p = 1 {p=1} and p = 2 p=2} .

AB - A representation of the sharp coefficient in a pointwise estimate for the gradient of the generalized Poisson integral of a function f on ℝn is obtained under the assumption that f belongs to L p Lp . The explicit value of the coefficient is found for the cases p = 1 {p=1} and p = 2 p=2} .

KW - Generalized Poisson integral

KW - half-space

KW - sharp estimate for the gradient

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JO - Georgian Mathematical Journal

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Sharp estimates for the gradient of the generalized Poisson integral for a half-space

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קבצים וקישורים אחרים

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