 About 999 results  books.google.com 1966  332 pages Theorem IX. Two functions harmonic and bounded in a domain that have the
same limiting values at all regular points of ... The reduction of these theorems to
the KelloggEvans Lemma had been carried out still earlier in the works of
Kellogg, ... 

 books.google.com It should be observed that the pair made of Lemma 2.1 and Theorem 3.1 can be
viewed as a type of quantitative uniform Wiener test and Kellogg Evans theorem.
In Theorem 2.4.7 we have characterized the regular points of a compact set as ... 

 books.google.com It follows from Theorem 7 that for each x P"{X (t) e D for all t e [r, r'], and t—+ u(X(t)
) is right continuous in (r, r')} I P"{X(t) e D for all ... we can prove a fundamental
result known as the KelloggEvans theorem in classical potential theory (see §5.1
). 

 books.google.com ... these same paths to crack some old chestnuts, such as the KelloggEvans
theorem about the irregular points for the Dirichlet boundary value problem. In
fact, the Brownian paths never hit them, acting as if they did not exist. This is the
way ... 

 books.google.com 1966  332 pages Theorem IX. Two {unctions harmonic and bounded in a domain that have the
same limiting values at all regular points of ... The reduction of these theorems to
the KelloggEvans Lemma had been carried out still earlier in the works of
Kellogg, ... 

 books.google.com Joseph Leonard Walsh, E. B. Saff, Theodore J. Rivlin  2000  682 pages Theorem 2 is established. ... proof of Theorem 2 also yields the COROLLARY TO
THEOREM 2. ... on Q'], where Q' is the set of points of Q regular for the region R
— Q. (It follows from the KelloggEvansVasilesco Lemma [4] that Q' is not empty.)
... 

 books.google.com 1966 Theorem IX. Two functions harmonic and bounded in a domain that have the
same limiting values at all regular points of ... The reduction of these theorems to
the KelloggEvans Lemma had been carried out still earlier in the works of
Kellogg, ... 

 books.google.com This is essentially a proof, in the general case of a '• Green space" , of a theorem
needed by Choquet in an earlier Report^ , that ... A_ new proof of the
fundamental KelloggEvans theorem on the set of irregular points in the Dirichlet
problem . 

 books.google.com Theorem 1.46 (Kellogg 1928, Evans 1933) If D ⊂ Rn is a bounded domain, then
the set of irregular points has capacity zero. A bridge between the geometry of
the domain and the operator P : C(bD) → h(D) is given by the notion of harmonic
... 

 books.google.com UNIQUENESS OF THE FUNCTION k ONDxXD Theorem Let D be a bounded
domain in En (n > 2) and Q a point of X D. Let u ... By the theorem of Kellogg
Evans it follows that u  c.v is identically zero on D. Clearly this implies that u and
v are ... 

 