VOL. 42 · NO. 2 | 2017
Front Matter
Real Anal. Exchange 42 (2), (2017) Open Access
No abstract available
Real Anal. Exchange 42 (2), (2017) Open Access
No abstract available
Peter Fletcher, Karel Hrbacek, Vladimir Kanovei, Mikhail G. Katz, Claude Lobry, Sam Sanders
Real Anal. Exchange 42 (2), 193-252, (2017) DOI: 10.14321/realanalexch.42.2.0193 Open Access
KEYWORDS: axiomatisations, infinitesimal, nonstandard analysis, ultraproducts, superstructure, set-theoretic foundations, multiverse, naive integers, intuitionism, soritical properties, ideal elements, protozoa, 03HO5, 26E35, 26E05
Jonathan M. Fraser, Eric J. Olson, James C. Robinson
Real Anal. Exchange 42 (2), 253-268, (2017) DOI: 10.14321/realanalexch.42.2.0253 Open Access
KEYWORDS: Kakeya conjecture, box-counting dimension, Hausdorff dimension, Assouad dimension, Baire category, 28A80, 54E52, 28A75
Mikhail Korch
Real Anal. Exchange 42 (2), 269-282, (2017) DOI: 10.14321/realanalexch.42.2.0269 Open Access
KEYWORDS: Egorov's theorem, generalized Egorov's statement, ideal convergence, 26A03, 28A20, 40A35, 03E35, 03E20, 03E17, 40A30
Redouane Sayyad
Real Anal. Exchange 42 (2), 283-310, (2017) DOI: 10.14321/realanalexch.42.2.0283 Open Access
KEYWORDS: Generalized McShane partition, McShane integral, Weak McShane integral, McShane integral in the limit, Pettis integral, Locally \(\tau\)\textrm-upper McShane boundedness, 26A03, 26A04, 26A05
Grigori A. Karagulyan
Real Anal. Exchange 42 (2), 311-328, (2017) DOI: 10.14321/realanalexch.42.2.0311 Open Access
KEYWORDS: Hilbert transform, exceptional null set, divergent Fourier series, 42B20, 42B05
Franklin R. Astudillo-Villaba, René E. Castillo, Julio C. Ramos-Fernández
Real Anal. Exchange 42 (2), 329-344, (2017) DOI: 10.14321/realanalexch.42.2.0329 Open Access
KEYWORDS: multiplication operators, p-variation, 26A45, 26B30, 47B38, 46E40
Ivan Werner
Real Anal. Exchange 42 (2), 345-384, (2017) DOI: 10.14321/realanalexch.42.2.0345 Open Access
KEYWORDS: outer measure, outer measure approximation, Caratheodory measurability, dynamically defined measure, 28A99, 28A12
Vladimir Kanovei, Mikhail Katz
Real Anal. Exchange 42 (2), 385-390, (2017) DOI: 10.14321/realanalexch.42.2.0385 Open Access
KEYWORDS: Lebesgue integral, Zermelo-Fraenkel theory, Feferman-Levy model, 03E25, 28A25
Badreddine Meftah
Real Anal. Exchange 42 (2), 391-410, (2017) DOI: 10.14321/realanalexch.42.2.0391 Open Access
KEYWORDS: dynamic equations, time scale, integral inequality, Gamidov inequality, 26D15, 26D20
Iwo Labuda
Real Anal. Exchange 42 (2), 411-428, (2017) DOI: 10.14321/realanalexch.42.2.0411 Open Access
KEYWORDS: Topological Group, unconditional convergence, Baire category, Baire property, additive map on a Cantor group, Haar measure, universal measurability., 40A05, 46B15, 54C10
Hajrudin Fejzić
Real Anal. Exchange 42 (2), 429-432, (2017) DOI: 10.14321/realanalexch.42.2.0429 Open Access
KEYWORDS: approximately continuous functions, monotonicity theorems, 26A24
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