REAL ANALYSIS
EXCHANGE

Summer Symposium in Real Analysis XXXX
"The Sarajevo - Several Peoples - Single Dream Symposium"

Luisa Di Piazza

Institution: Department of Mathematics and Computer Science, University of Palermo (Italy)

Address: Via Archirafi 34, 90123 Palermo (Italy)

Phone: 0039-09123891078

Email: luisa.dipiazza@unipa.it

Career: Since November 2000, Full Professor of Mathematical Analysis at the University of Palermo. Degree in Mathematics in 1972, Fellow of C.N.R. 1972-74, Research Fellow 1974-80, Assistant 1980-88 and Associate Professor 1988-2000, at the University of Palermo.

Other Positions: Visiting Professor at the Universities of Erlangen, Manila, Ulster, Wrocraw, Mosca (University of Lomonosov), Murcia, Suceava ("Stefan cel Mare" University) and at the Czech Academy of Sciences in Prague.

  1. Her current research fields are Real Analysis, Vector Meausures, Integration and Applications. Author of over 50 publications, she has several international collaborations (with U.B. Darji, V. Kadets, K. Musial, W. Pfeffer, D. Preiss, D.R. Satco, V.A. Skvortsov).
  2. Lately she has worked on various aspects of multifunctions related to vector valued integration and on their applications in mathematical economics.
  3. She has served as a principle speaker at many of national and international meetings.
  4. Organizer or coorganizer of international meetings on Real Analysis and Measure Theory (RAE Erice, 1994, Integration Vector Measures and related topics Palermo 2012 and Bedlewo 2014).

Publications 2000-2015:

  1. L. Di Piazza, V. Marraffa and B. Satco, Set valued integrability and measurability in non separable Fréchet spaces and applications, in print on Math. Slovaca.
  2. D. Bongiorno, D. Darji and L. Di Piazza, Rolewicz-type chaotic operators, J. Math. Anal. Appl. 431 (2015), no. 1, 518-528. 47A16.
  3. L. Di Piazza and G. Porcello, Radon-Nikodym theorems for finitely additive multimeasures, Z. Anal. ihre. Anwend. (ZAA) 34 (2015), no 4, 373-389.
  4. B. Bongiorno, D. Darji and L. Di Piazza, Lineability of non-differentiable Pettis primitives, Monatsh. Math. 177 (2015), no. 3, 345-362.
  5. D. Caponetti, L. Di Piazza and V. Kadets, Description of the limit set of Henstock-Kurzweil integral sums of vector-valued functions, Jour. Math. Anal. Applic 421 (2015), pp. 1151-1162.
  6. L. Di Piazza and K.Musial, Relations among Henstock, McShane and Pettis integrals for multifunctions with compact convex values, Monatsh. Math., Vol. 173, Issue 4 (2014), pp. 459-470.
  7. B. Bongiorno, L. Di Piazza and K.Musial, Differentiation of an additive interval measure with values in a coniugate ti Banach space, Functiones et Approximatio Commentarii Mathematici, (2014), 169-180.
  8. L. Di Piazza and K.Musial, Henstock-Kurzweil-Pettis integrability of compact valued multifunctions with values in an arbitrary Banach space, Jour. Math. Anal. Applic. Vol. 408 (2013), pp. 452-464.
  9. B. Bongiorno, L. Di Piazza and K.Musial, A Decomposition Theorem for the Fuzzy Henstock Integral, Fuzzy Sets and Systems, vol. 200 (2012), pp. 36-47.
  10. B. Bongiorno, L. Di Piazza and K.Musial, Radon-Nikodym derivatives of finitely additive interval measures taking values in a Banach space with basis, Acta Math. Sin. (Engl. Ser.), vol. 28 (2) (2012), pp. 219-234.
  11. L. Di Piazza and K.Musial, A decomposition of Denjoy-Khintchine-Pettis and Henstock-Kurzweil-Pettis integrable multifunctions, Vector Measures, Integration and Related Topics (Eds.) G.P. Curbera, G. Mockenhaupt, W.J. Ricker, Operator Theory: Advances and Applications Vol. 201 (2010) pp. 171-182 Birkhauser Verlag, ISBN: 978-3-0346-0210-5 Hardcover.
  12. L. Di Piazza and V. Marraffa, The Fubini and Tonelli theorems for product local systems, Vector Measures, Integration and Related Topics (Eds.) G.P. Curbera, G. Mockenhaupt, W.J. Ricker, Operator Theory: Advances and Applications Vol. 201 (2010) pp. 159-170 Birkhauser Verlag, ISBN: 978-3-0346-0210-5 Hardcover.
  13. B. Bongiorno, L. Di Piazza and K.Musial, A characterization of the weak Radon-Nikodym property by finitely additive interval functions, Bull. Austr. Mat. J. 80 (2009) pp. 476-485.
  14. B. Bongiorno, L. Di Piazza and K.Musial, A variational Henstock integral characterization of the Radon-Nikodym property, Illinois Journal of Mathematics. Volume 53, Number 1 (2009), pp. 87-99.
  15. L. Di Piazza and B. Satco, A new result on impulsive differential equations involving non-absolutely convergent integrals, Jour. Math. Anal. Applic. 352 (2009) pp. 954-963.
  16. B. Bongiorno, L. Di Piazza and K.Musial, Approximation by step functions of Banach space valued nonabsolute integrals, Glasgow Math. J. 50 (3 ), (2008), pp 583-593.
  17. L. Di Piazza and K.Musial, Characterizations of Kurzweil-Henstock-Pettis integrable functions, Studia Math. 176 (2), (2006), pp. 159-176, ISSN: 0039-3223.
  18. B. Bongiorno, L. Di Piazza and K.Musial, Kurzweil-Henstock and Kurzweil-Henstock-Pettis integrability of strongly measurable functions, Math. Bohemica 131(2), (2006), pp. 211-223.
  19. L. Di Piazza and K.Musial, A decomposition theorem for compact-valued Henstock integral, Monatsh. Math. 148 (2), (2006), pp. 119-126.
  20. D. Bongiorno, L. Di Piazza and K.Musial, Variational measures related to local systems and the Ward propery of P-adic path bases, Czechoslovak Math. J. 56 (131) (2006), pp. 559-578.
  21. L. Di Piazza and K.Musial, Set valued Kurzweil-Henstock-Pettis integral, Set-Valued Anal. 13 (2), (2005), pp. 167--179.
  22. L. Di Piazza, Kurzweil-Henstock type integration on Banach spaces, Real Anal. Exchange 29 (2), (2003/2004), pp. 543--555.
  23. L. Di Piazza and D. Preiss, When do McShane and Pettis integrals coincide?, Illinois J. Math. 47 (4), (2003), pp. 1177--1187.
  24. B. Bongiorno, L. Di Piazza and V. Skvortsov, The Ward property for a P-adic basis and the P-adic integral, J. Math. Anal. Appl. 285 (2), (2003), 578-592.
  25. B. Bongiorno, L. Di Piazza and V. Skvortsov, On dyadic integrals and some other integrals associated with local systems, Jour. Math. Anal. Applic. 271 (2), (2002), pp. 506-524.
  26. L. Di Piazza and V. Marraffa, An equivalent definition of vector-valued McShane integral by means of partitions of the unity, Studia Math. 151 (2) (2002), 175--185.
  27. L. Di Piazza and V. Marraffa, The McShane, PU and Henstock integrals of Banach valued functions, Czechoslovak Math. J. 52(127) (2002), no. 3, pp. 609--633.
  28. L. Di Piazza, A Riemann-type minimal integral for the classical problem of primitives, Rendiconti dell'Istituto di Matem. dell'Univ. Trieste Vol.XXXIV (2002), pp. 143-153, ISSN: 0049-4704.
  29. L. Di Piazza and K. Musial, A characterization of variationally McShane integrable Banach-space valued functions, Illinois J. Math. 45 (2001), no. 1, pp. 279-289.
  30. L. Di Piazza, Varational measures in the theory of the integration in $R^m$, Czechos. Math. Jour. 51(126) (2001), no. 1, pp. 95-110.
  31. B. Bongiorno, L. Di Piazza and V. Skvortsov, On the n-dimensional Perron integral defined by ordinary derivates, Real Anal. Ex. 26 (1), 2000/2001, pp. 371-380.
  32. B. Bongiorno, L. Di Piazza and V. Skvortsov, On variational measures related to some bases, Jour. Math. Anal. and Applic. 250 (2000), pp. 533-547.
  33. B. Bongiorno, L. Di Piazza and D. Preiss, A constructive minimal integral which includes Lebesgue integrable functions and derivatives, J. London Math. Soc., Vol. 62 (2000), No. 1, pp. 117-126.
  34. B. Bongiorno, L. Di Piazza and K.Musial, An alternate approach to the McShane integral, Real Anal. Ex., 25 (2) 1999/2000, pp. 829-848 .