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On the boundary values of harmonic functions
Authors:
Richard A. Hunt and Richard L. Wheeden
Journal:
Trans. Amer. Math. Soc. 132 (1968), 307-322
MSC:
Primary 31.10; Secondary 30.00
MathSciNet review:
0226044
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [1]
A.
S. Besicovitch, A general form of the covering principle and
relative differentiation of additive functions. II, Proc. Cambridge
Philos. Soc. 42 (1946), 1–10. MR 0014414
(7,281e)
- [2]
M.
Brelot and J.
L. Doob, Limites angulaires et limites fines, Ann. Inst.
Fourier (Grenoble) 13 (1963), no. fasc. 2,
395–415 (French). MR 0196107
(33 #4299)
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A. P. Calderón, On the behavior of harmonic functions at the boundary, Trans. Amer. Math. Soc. 68 (1950), 47-54.
- [4]
Lennart
Carleson, On the existence of boundary values for harmonic
functions in several variables, Ark. Mat. 4 (1962),
393–399 (1962). MR 0159013
(28 #2232)
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I.
G. Petrovsky, Lectures on partial differential equations,
Interscience Publishers, New York-London, 1954. Translated by A. Shenitzer.
MR
0065760 (16,478f)
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S. Saks, Theory of the integral, Stechert, New York, 1937.
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Kjell-Ove
Widman, On the boundary values of harmonic functions in
𝑅³, Ark. Mat. 5 (1964), 221–230
(1964). MR
0201662 (34 #1544)
- [8]
A.
Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge
University Press, New York, 1959. MR 0107776
(21 #6498)
- [1]
- A. S. Besicovitch, A general form of the covering principle and relative differentiation of additive functions. II, Proc. Cambridge Philos. Soc. 42 (1946), 1-10. MR 0014414 (7:281e)
- [2]
- M. Brelot and J. L. Doob, Limites angulaires et limites fines, Ann. Inst. Fourier (Grenoble) 13 (1963), 395-415. MR 0196107 (33:4299)
- [3]
- A. P. Calderón, On the behavior of harmonic functions at the boundary, Trans. Amer. Math. Soc. 68 (1950), 47-54.
- [4]
- L. Carleson, On the existence of boundary values for harmonic functions of several variables, Ark. Mat. 4 (1962), 393-399. MR 0159013 (28:2232)
- [5]
- I. G. Petrovsky, Lectures on partial differential equations, Interscience, New York, 1954. MR 0065760 (16:478f)
- [6]
- S. Saks, Theory of the integral, Stechert, New York, 1937.
- [7]
- K.-O. Widman, On the boundary values of harmonic functions in
, Ark. Mat. 5 (1964), 221-230. MR 0201662 (34:1544)
- [8]
- A. Zygmund, Trigonometric series, 2nd ed., Cambridge Univ. Press, New York, 1959. MR 0107776 (21:6498)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1968-0226044-7
PII:
S 0002-9947(1968)0226044-7
Article copyright:
© Copyright 1968 American Mathematical Society
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