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egzemplarz oeov.

ANNALES

UNIVERSITATIS MARIAE CURIE-SKŁODOWSK A

SECTIO A

MATHEMATICA

V O L. LIII LUBLIN 1999

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UNIWERSYTET MARII CURIE-SKŁODOWSKIEJ

ISSN 0365-1029

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ANNALES

UNI VERSITATIS MARIAE CURIE-SKLODOWSKA LUBLIN - POLONIA

VOL. LIII SECTIO A 1999

Annales Universitatis Mariae Curie-Skfodowska Sectio A Mathematica is published by the Editorial Office of the university and endeavors to publish significant research papers in some selected areas of mathematics complying with scientific interest of our faculty, i.e. complex analysis, differential equations, differential geometry, functional analysis, probability. One volume of 150-200 pages is published each year.

To submit a paper for publication, an author should send two copies of the manuscript to the following address:

Redakcja Annales UMCS Sectio A (Mathematica) Plac M. Curie-Skfodowskiej 5

20-031 Lublin, Poland

The submission of a paper implies the author’s assurance that it has not been published, or submitted for publication elsewhere. Preference will be given to manuscripts no longer than 30 pages written in TgX, possibly in English. Authors of published papers will receive 25 offprints.

Manuscripts submitted for publication should be neatly typed on one side of the page only, double spaced, with generous margins. Diagrams should be drawn with black India ink on separate sheets of glossy white paper and be submitted for photographic reproduction. References should be in alphabetic-chronological order, abbreviations of names of journals and references to books should follow the standard form established by Mathematical Reviews. After the referee’s approval, the authors of paper written in TgX will be requested to submitt the diskette.

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M»S»-

UMCS LUBLIN

ANNALES

U N I VERS 1TATIS MARIAE C U R IE-S KŁO DO WS K A

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KOMITET REDAKCYJNY

REDAKTOR NACZELNY

Grzegorz Leopold Seidler

ZASTĘPCY REDAKTORA NACZELNEGO

Wiesław Skrzydło, Wiesław Śladkowski

REDAKTORZY SEKCJI

A MATHEMATICA Adam Bielecki, Jan Krzyż AA CHEMIA Władysław Rudziński AAA PHYSIC A Jan Sielewiesiuk

B GEOGRAPHIA.

GEOLOGIA ETC. Józef Wojtanowicz C BIOLOGIA Zbigniew Lorkiewicz D MEDICINA Stanisław Bryc DD MEDICINA

VETERINARIA Zdzisław Gliński DDD PHARMACIA Romuald Langwiński

E AGRICULTURA Adam Szember z

EE ZOOTECHNICA Marian Budzyński EEE HORT1CULTURA Maria Tendaj

F HISTORIA Wiesław Śladkowski FF PHILOLOGIAE Alina Aleksandrowicz

G HIS Wiesław Skrzydło

Antoni Pieniążek

— zastępca redaktora H OECONOMIA Ryszard Orłowski

1 PHILOSOPHIA

— SOCIOLOGIA Zdzisław Cackowski J PAEDAGOGIA

— PSYCHOLOGIA Stanisław Popek K POLITOLOGIA Jan Jachymek

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ANNALES

UNIVERSITATIS MARIAE CURIE-SKŁODOWSKA

SECTIO A

MATHEMATICA

VOL. LIU LUBLIN I 999

III...Ill HI nihII. IllIIII HI IIII HU I Hill IIIIII ...I... . ... III ...I,... .. ... . mIII. 111IIII111.111...1 ...min... mu...mninn.nuu.in...iiiuiiiiiiiii....m... . i■ ■i ■ i. u. i ■.. i

UNIWERSYTET MARII CURIE-SKLODOWSKIEJ ISSN 0365-10 29

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REDAKTOR TOMU JAN KRZYŻ

SEKRETARZ REDAKCJI LECH MALISZEWSKI

PROJEKT OKŁADKI I STRON TYTUŁOWYCH JERZY DURAKIEWICZ

REDAKCJA WYDAWNICZA I SKŁAD SYSTEMEM IfeX JADWIGA ZYGMUNT

ISSN 0365-1029

WYDAWNICTWO UNIWERSYTETU MARII CURIE-SKŁODOWSKIEJ PI. Marii Curie-Skłodowskiej 5. 20-031 Lublin, tel. (0-81) 537-53-02, 537-53-04,

http://press.umcs.lublin.pl

DRUK: ZAKŁAD POLIGRAFII WYDAWNICTWA UMCS

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ANNALES

UNIVERSITATIS MARIAE C U RI E - S K Ł O D O W S K A LUBLIN - POLONIA

VOL. LIII SECTIO A 1999

Table of contents

List of participants A historical background

A special session dedicated to Jan G. Krzyż

Papers presented at the Conference but not appearing in the Proceedings

1. DAOUD BSHOUTY, RICHARD GREINER and STEPHAN RUSCHEWEYH

Disproof of a conjecture on univalent functions 2. DAOUD BSHOUTY, WALTER HENGARTNER

and M. NAGHIBI-BEIDOKHTI

P-valent harmonic mappings with finite Blaschke dilatations 3. KONSTANTIN Yu. FEDOROVSKI

On uniform approximations by polyanalytic polynomials on compact subsets of the plane

4. KEIKO FUJITA and MITSUO MORIMOTO

Conical Fourier transform of Hardy space of harmonic functions on the Lie ball

5. FREDERICK W. GEHRING

Variations on a theorem of Fejer and Riesz 6. FREDERICK W. GEHRING and KARI HAG

Bounds for the hyperbolic distance in a quasidisk 7. DANIEL GIRELA

Some results on univalent functions with positive Hayman index 8. PER HAG

A note on quasisymmetric functions and BMO

vii ix x

xi

1

9

27

41

57

67

73

85

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VI

9. MAREK JARNICKI and PETER PFLUG

A remark on the product property for the Caratheodory

pseudodistance 89

10. STANISŁAWA KANAS and FRODE R0NNING

Uniformly starlike and convex functions and other related

classes of univalent functions 95

11. TADEUSZ KUCZUMOW and ADAM STACHURA

The Denjoy-Wolff theorem for S—condensing mappings 107 12. PIOTR LICZBERSKI and JERZY POŁUBIŃSKI

Some remarks on Janiec uniqueness theorem for holomorphic

mappings in Cn 115

13. LISA LORENTZEN

Convergence of compositions of self-mappings 121 14. ABDALLAH LYZZAIK

Univalent harmonic mappings and a conjecture of J. C. C. Nitsche 147 15. MARCELINA MOCANU

Some sufficient conditions for the convergence of the derivatives

of weakly quasiregular mappings 151

16. DARIUSZ PARTYKA and KEN-ICHI SAKAN

A conformally invariant dilatation of quasisymmetry 167 17. OSMO PEKONEN

Kahler potentials of the Weil-Petersson metric 183 18. JOHN A. PFALTZGRAFF and TED J. SUFFRIDGE

An extension theorem and linear invariant families generated

by starlike maps 193

19. HITOSHI SAITOH

Univalence and starlikeness of solutions of W" J- aW + bW = 0 209 20. VICTOR V. STARKOV

Integral means of derivatives of locally univalent Bloch functions 217 21. TOSHIYUKI SUGAWA

Holomorphic motions and quasiconformal extensions 239 22. OLLI TAMMI

On the coefficient bodies of bounded real non-vanishing

univalent functions 253

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List of participants

1. Gabriela Adamczyk, Poland 2. Milne Anderson, United Kingdom 3. Cabiria Andreian Cazacu, Romania 4. Rauno Aulaskari, Finland

5. Marie Auxiliadora Marquez, Spain 6. Roger W. Barnard, USA

7. Youssef Ben Cheikh, Tunisia 8. Prodipeswar Bhattacharyya, India 9. Mariusz Bieniek, Poland

10. Roger Boudet, France 11. Daoud Bshouty, Israel 12. Mihai Cristea, Romania 13. Nikolaos Danikas, Greece 14. Bodo Dittmar, Germany 15. Peter Duren, USA

16. Armen Edigarian, Poland 17. Konstantin Fedorovski, Russia 18. Keiko Fujita, Japan

19. Andrzej Ganczar, Poland 20. Frederick Gehring, USA 21. Oleg Gerus, Ukraine 22. Daniel Girela, Spain 23. Janusz Godula, Poland 24. Armen Grigoryan, Poland 25. Per Hag, Norway

26. Kari Hag, Norway

27. Janne Heittokangas, Finland 28. Wojciech Hyb, Poland 29. Piotr Jakóbczak, Poland 30. Marek Jarnicki, Poland 31. Stanisława Kanas, Poland 32. George Khimshiashvili, Poland 33. Katarzyna Kiepiela, Poland 34. Yong Chan Kim, Korea 35. Leopold Koczan, Poland 36. Gabriela Kohr, Romania 37. Jerzy Kozicki, Poland 38. Jan G. Krzyż, Poland 39. Tadeusz Kuczumow, Poland 40. Andrzej Kwasniewski, Poland 41. Hpo Laine, Finland

42. Adam Lecko, Poland 43. David Lesley, USA

44. Zdzisław Lewandowski, Poland 45. Piotr Liczberski, Poland 46. Lisa Lorentzen, Norway 47. Abdallah Lyzzaik, Lebanon 48. Julian Ławrynowicz, Poland 49. Anna Łazińska, Poland 50. Ramez N. Maalouf, Lebanon 51. Wiesław Majchrzak, Poland 52. Olli Martio, Finland

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53. Miodgrad Mateljevic, Yugoslavia 54. Józef Miazga, Poland

55. Małgorzata Michalska, Poland 56. Marzena Mirosław, Poland 57. Marcelina Mocanu, Romania 58. Jan Myszewski, Poland 59. Maria Nowak, Poland 60. Bruce O’Neill, Egypt 61. Shigeyoshi Owa, Japan 62. Dariusz Partyka, Poland 63. Osmo Pekonen, Finland 64. Claudio Perelli Cippo, Italy 65. Peter Pflug, Germany 66. Monika Pietrzyk, Poland 67. Sergiy Plaksa, Ukraine 68. Wiesław Pleśniak, Poland 69. Vsevolod Pohilevich, Ukraine 70. Dmitri Prokhorov, Russia 71. Alexander Rashkovskii, Ukraine 72. Frode Rpnning, Norway

73. Stephan Ruscheweyh, Germany 74. Elena Rusu, Moldova

75. Grzegorz Rządkowski, Poland 76. Hitoshi Saitoh, Japan

77. Ken-Ichi Sakan, Japan 78. Gerald Schmieder, Germany

79. Tadayuki Sekine, Japan 80. Józef Siciak, Poland 81. Le Hung Son, Vietnam 82. Uri Srebro, Israel 83. Adam Stachura, Poland 84. Jan Stankiewicz, Poland 85. Viktor Starkov, Russia 86. Michael Stessin, USA 87. Ted Suffridge, USA 88. Toshiyuki Sugawa, Japan 89. Wojciech Szapiel, Poland 90. Jan Szynal, Poland 91. Olli Tammi, Finland

92. Lucyna Trojnar-Spelina, Poland 93. Alexander Vasil’ev, Colombia 94. Józef Waniurski, Poland 95. Piotr Waniurski, Poland 96. Robert Winiarczyk, Poland 97. Agnieszka Wiśniowska, Poland 98. Lech Wołowski, Poland

99. Andrzej Wrzesień, Poland 100. Paweł Zaprawa, Poland 101. Eligiusz Zlotkiewicz, Poland 102. Natalia Zorii, Ukraine 103. Jadwiga Zygmunt, Poland

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