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WEAK BLOCH FUNCTIONS, φ-UNIFORM AND φ-JOHN DOMAINS

김기원
한국수학교육학회|2012.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제19권 제4호|pp. 423-435

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참고문헌

키워드

the quasihyperbolic metricBloch functionsweak Bloch functionsφ-uniform and φ-John domains.
주제분류수학

초록

We give some properties of weak Bloch functions and also give some properties of φ-uniform domains and φ-John domains in terms of moduli of conti-nuity of Bloch functions and weak Bloch functions.

Abstract

We give some properties of weak Bloch functions and also give some properties of φ-uniform domains and φ-John domains in terms of moduli of conti-nuity of Bloch functions and weak Bloch functions.

참고문헌 (11)

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  3. F.W. Gehring, "Quasihyperbolic geodesics in John domains", Math. Scand, 65, pp.75~92 (1989)
  4. F.W. Gehring, "Lipschitz classes and quasiconformal mappings", Ann. Acad. Sci. Fenn. Math, 10, pp.203~219 (1985)
  5. F.W. Gehring, "Uniform domains and the quasi-hyperbolic metric", J. Analyse Math, 36, pp.50~74 (1979)
  6. F.W. Gehring, "Quasiconformal homogeneous domains", J. Analyse Math, 30, pp.172~199 (1976)
  7. D.A. Herron, "Positive harmonic functions in uniform and admissible domains", Analysis, 8, pp.187~206 (1988)
  8. K. Kim, "Notes on the moduli of continuity of conjugate harmonic functions in domains", The Bulletin of Natural Science, Silla Univ, 16, pp.31~34 (2007)
  9. 김기원, "INNER UNIFORM DOMAINS, THE QUASIHYPERBOLIC METRIC AND WEAK BLOCH FUNCTIONS", 대한수학회보, 49(1), pp.11~24 (2012), 대한수학회
  10. N. Langmeyer, "The quasihyperbolic metric, growth and John domains", Ann. Acad. Sci. Fenn. Math, 23, pp.205~224 (1998)
  11. J. Vaisala, "Relatively and inner uniform domains", Conformal Geom. Dynam, 2, pp.56~88 (1998)

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