Kharazishvili, Alexander On some version of random variables. (English) Zbl 07739504 Trans. A. Razmadze Math. Inst. 177, No. 1, 143-146 (2023). MSC: 28A05 60A10 PDF BibTeX XML Cite \textit{A. Kharazishvili}, Trans. A. Razmadze Math. Inst. 177, No. 1, 143--146 (2023; Zbl 07739504) Full Text: Link
Buczolich, Zoltán; Hanson, Bruce; Maga, Balázs; Vértesy, Gáspár Strong one-sided density without uniform density. (English) Zbl 07672172 Period. Math. Hung. 86, No. 1, 13-23 (2023). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 28A05 28A75 PDF BibTeX XML Cite \textit{Z. Buczolich} et al., Period. Math. Hung. 86, No. 1, 13--23 (2023; Zbl 07672172) Full Text: DOI arXiv
Cavaliere, Paola; Mihula, Zdeněk Compactness of Sobolev-type embeddings with measures. (English) Zbl 1509.46022 Commun. Contemp. Math. 24, No. 9, Article ID 2150036, 41 p. (2022). MSC: 46E35 46E30 46B50 PDF BibTeX XML Cite \textit{P. Cavaliere} and \textit{Z. Mihula}, Commun. Contemp. Math. 24, No. 9, Article ID 2150036, 41 p. (2022; Zbl 1509.46022) Full Text: DOI
Gaisin, Ahtyar Magazovich; Kanguzhin, Baltabek Esmatovich; Seitova, Aliya Amangalievna Completeness of the exponential system on a segment of the real axis. (English) Zbl 1513.30123 Eurasian Math. J. 13, No. 2, 37-42 (2022). MSC: 30D15 30D20 46E30 PDF BibTeX XML Cite \textit{A. M. Gaisin} et al., Eurasian Math. J. 13, No. 2, 37--42 (2022; Zbl 1513.30123) Full Text: DOI MNR
Kolountzakis, Mihail N.; Papageorgiou, Effie Functions tiling with several lattices. (English) Zbl 1504.52018 J. Fourier Anal. Appl. 28, No. 4, Paper No. 68, 19 p. (2022). Reviewer: Christian Richter (Jena) MSC: 52C22 11H06 05B45 20K99 28A05 PDF BibTeX XML Cite \textit{M. N. Kolountzakis} and \textit{E. Papageorgiou}, J. Fourier Anal. Appl. 28, No. 4, Paper No. 68, 19 p. (2022; Zbl 1504.52018) Full Text: DOI arXiv
Delladio, Silvano A closure result for differential forms in the context of superdensity, approximation of measurable functions by density-degree functions. (English) Zbl 1505.28007 Banach J. Math. Anal. 16, No. 3, Paper No. 40, 19 p. (2022). MSC: 28A75 28A05 31C40 PDF BibTeX XML Cite \textit{S. Delladio}, Banach J. Math. Anal. 16, No. 3, Paper No. 40, 19 p. (2022; Zbl 1505.28007) Full Text: DOI
Kharazishvili, A. An abstract version of sup-measurability. (English) Zbl 1497.28001 Trans. A. Razmadze Math. Inst. 176, No. 1, 135-138 (2022). MSC: 28A05 28D05 PDF BibTeX XML Cite \textit{A. Kharazishvili}, Trans. A. Razmadze Math. Inst. 176, No. 1, 135--138 (2022; Zbl 1497.28001) Full Text: Link
Klinga, P.; Kwela, A. Borel complexity of the family of attractors for weak IFSs. (English) Zbl 1513.28012 Acta Math. Hung. 166, No. 1, 124-141 (2022). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 28A80 26A18 28A05 PDF BibTeX XML Cite \textit{P. Klinga} and \textit{A. Kwela}, Acta Math. Hung. 166, No. 1, 124--141 (2022; Zbl 1513.28012) Full Text: DOI arXiv
Rondos, Jakub; Spurný, Jiri Maximum principle for abstract convex functions. (English) Zbl 1487.46006 J. Convex Anal. 28, No. 3, 837-846 (2021). Reviewer: Constantin Niculescu (Craiova) MSC: 46A55 52A07 28A05 52A41 PDF BibTeX XML Cite \textit{J. Rondos} and \textit{J. Spurný}, J. Convex Anal. 28, No. 3, 837--846 (2021; Zbl 1487.46006) Full Text: Link
Huong, Vu Thi; Yao, Jen-Chih; Yen, Nguyen Dong Analyzing a maximum principle for finite horizon state constrained problems via parametric examples. II: Problems with bilateral state constraints. (English) Zbl 1477.49030 Numer. Funct. Anal. Optim. 42, No. 11, 1334-1366 (2021). MSC: 49K15 49J15 PDF BibTeX XML Cite \textit{V. T. Huong} et al., Numer. Funct. Anal. Optim. 42, No. 11, 1334--1366 (2021; Zbl 1477.49030) Full Text: DOI arXiv
Holá, Ľubica There are \(2^{\mathfrak{c}}\) quasicontinuous non Borel functions on uncountable Polish space. (English) Zbl 1472.54005 Result. Math. 76, No. 3, Paper No. 126, 11 p. (2021). Reviewer: Christopher Caruvana (Kokomo) MSC: 54C35 54C30 54C08 54C60 PDF BibTeX XML Cite \textit{Ľ. Holá}, Result. Math. 76, No. 3, Paper No. 126, 11 p. (2021; Zbl 1472.54005) Full Text: DOI
Natkaniec, Tomasz On lineability of families of non-measurable functions of two variable. (English) Zbl 1471.28002 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 33, 10 p. (2021). Reviewer: K. P. Hart (Delft) MSC: 28A20 03E50 03E65 15A03 28A05 PDF BibTeX XML Cite \textit{T. Natkaniec}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 1, Paper No. 33, 10 p. (2021; Zbl 1471.28002) Full Text: DOI
Tleukhanova, Nazerke Tulekovna; Bakhyt, Amangul On trigonometric Fourier series multipliers in \(\lambda_{p,q}\) spaces. (English) Zbl 1474.42049 Eurasian Math. J. 12, No. 1, 103-106 (2021). MSC: 42B15 42A16 46E30 47B37 28A05 PDF BibTeX XML Cite \textit{N. T. Tleukhanova} and \textit{A. Bakhyt}, Eurasian Math. J. 12, No. 1, 103--106 (2021; Zbl 1474.42049) Full Text: DOI MNR
Steele, T. H. Inverses of Borel functions. (English) Zbl 1460.26003 Topology Appl. 288, Article ID 107474, 11 p. (2021). Reviewer: Piotr Sworowski (Bydgoszcz) MSC: 26A21 28A05 PDF BibTeX XML Cite \textit{T. H. Steele}, Topology Appl. 288, Article ID 107474, 11 p. (2021; Zbl 1460.26003) Full Text: DOI
Huong, Vu Thi; Yao, Jen-Chih; Yen, Nguyen Dong Analyzing a maximum principle for finite horizon state constrained problems via parametric examples. I: Problems with unilateral state constraints. (English) Zbl 1462.49044 J. Nonlinear Convex Anal. 21, No. 1, 157-182 (2020). MSC: 49K15 49J15 91B62 PDF BibTeX XML Cite \textit{V. T. Huong} et al., J. Nonlinear Convex Anal. 21, No. 1, 157--182 (2020; Zbl 1462.49044) Full Text: arXiv Link
Kirtadze, Aleks; Pantsulaia, Gogi A. Kharazishvili’s some results of on the structure of pathological functions. (English) Zbl 1456.26003 Trans. A. Razmadze Math. Inst. 174, No. 1, 1-8 (2020). Reviewer: George Stoica (Saint John) MSC: 26A15 26A27 28A05 PDF BibTeX XML Cite \textit{A. Kirtadze} and \textit{G. Pantsulaia}, Trans. A. Razmadze Math. Inst. 174, No. 1, 1--8 (2020; Zbl 1456.26003) Full Text: Link
Andrzejczak, Grzegorz Constructions I. Selected constructions of theoretical mathematics – topologies, measures and the Lebesgue integral. (Konstrukcje I. Wybrane konstrukcje matematyki teoretycznej – topologie, miary i całka Lebesgue’a.) (Polish) Zbl 1460.28001 Łódź: Politechnika Łódzka (ISBN 978-83-66287-63-1/pbk). ii, 169 p. (2020). Reviewer: Eliza Wajch (Siedlce) MSC: 28-01 54-01 28A05 28A25 28A50 28A20 54B10 54B30 54B05 54D30 54D35 54D45 54E50 PDF BibTeX XML Cite \textit{G. Andrzejczak}, Konstrukcje I. Wybrane konstrukcje matematyki teoretycznej -- topologie, miary i całka Lebesgue'a (Polish). Łódź: Politechnika Łódzka (2020; Zbl 1460.28001)
Banakh, Taras; Maslyuchenko, Oleksandr Linearly continuous functions and \(F_\sigma\)-measurability. (English) Zbl 1479.26003 Eur. J. Math. 6, No. 1, 37-52 (2020). MSC: 26A21 26A15 26B25 46A55 54C20 54C30 54H05 PDF BibTeX XML Cite \textit{T. Banakh} and \textit{O. Maslyuchenko}, Eur. J. Math. 6, No. 1, 37--52 (2020; Zbl 1479.26003) Full Text: DOI arXiv
Anza Hafsa, Omar; Mandallena, Jean-Philippe Lower semicontinuity of integrals of the calculus of variations in Cheeger-Sobolev spaces. (English) Zbl 1432.49014 Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 53, 32 p. (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 49J45 PDF BibTeX XML Cite \textit{O. Anza Hafsa} and \textit{J.-P. Mandallena}, Calc. Var. Partial Differ. Equ. 59, No. 2, Paper No. 53, 32 p. (2020; Zbl 1432.49014) Full Text: DOI
Kharazishvili, Alexander On projective functions with bad measurability properties. (English) Zbl 1472.28001 Bull. TICMI 23, No. 1, 77-81 (2019). MSC: 28A05 28A20 28D05 PDF BibTeX XML Cite \textit{A. Kharazishvili}, Bull. TICMI 23, No. 1, 77--81 (2019; Zbl 1472.28001) Full Text: Link
Dirik, Fadime; Yıldız, Sevda; Demirci, Kamil Abstract Korovkin theory for double sequences via power series method in modular spaces. (English) Zbl 1436.41015 Oper. Matrices 13, No. 4, 1023-1034 (2019). MSC: 41A36 40G10 46E30 PDF BibTeX XML Cite \textit{F. Dirik} et al., Oper. Matrices 13, No. 4, 1023--1034 (2019; Zbl 1436.41015) Full Text: DOI
Zakrzewski, Piotr On absolutely Baire nonmeasurable functions. (English) Zbl 1480.03041 Georgian Math. J. 26, No. 4, 483-487 (2019). MSC: 03E15 54E52 28A05 PDF BibTeX XML Cite \textit{P. Zakrzewski}, Georgian Math. J. 26, No. 4, 483--487 (2019; Zbl 1480.03041) Full Text: DOI
Andretta, Alessandro; Camerlo, Riccardo Analytic sets of reals and the density function in the Cantor space. (English) Zbl 07066423 Eur. J. Math. 5, No. 1, 49-80 (2019). MSC: 03E15 28A05 PDF BibTeX XML Cite \textit{A. Andretta} and \textit{R. Camerlo}, Eur. J. Math. 5, No. 1, 49--80 (2019; Zbl 07066423) Full Text: DOI arXiv
Grzegorek, Edward; Labuda, Iwo Partitions into thin sets and forgotten theorems of Kunugi and Luzin-Novikov. (English) Zbl 1428.54006 Colloq. Math. 155, No. 2, 267-285 (2019). MSC: 54C10 54E52 54-03 01A60 PDF BibTeX XML Cite \textit{E. Grzegorek} and \textit{I. Labuda}, Colloq. Math. 155, No. 2, 267--285 (2019; Zbl 1428.54006) Full Text: DOI arXiv
Kharazishvili, Alexander On generalized measurability properties of certain projective sets. (English) Zbl 1408.28002 Bull. TICMI 22, No. 1, 59-64 (2018). MSC: 28A05 28A20 28D05 PDF BibTeX XML Cite \textit{A. Kharazishvili}, Bull. TICMI 22, No. 1, 59--64 (2018; Zbl 1408.28002) Full Text: EMIS Link
Bose, Kumardipta; Das, Pratulananda; Kwela, Adam Generating new ideals using weighted density via modulus functions. (English) Zbl 1439.28002 Indag. Math., New Ser. 29, No. 5, 1196-1209 (2018). MSC: 28A05 28E15 94A17 PDF BibTeX XML Cite \textit{K. Bose} et al., Indag. Math., New Ser. 29, No. 5, 1196--1209 (2018; Zbl 1439.28002) Full Text: DOI
Gregoriades, Vassilios The Dyck and the Preiss separation uniformly. (English) Zbl 06904744 Ann. Pure Appl. Logic 169, No. 10, 1082-1116 (2018). MSC: 03E15 03D60 03D80 28A05 54H05 PDF BibTeX XML Cite \textit{V. Gregoriades}, Ann. Pure Appl. Logic 169, No. 10, 1082--1116 (2018; Zbl 06904744) Full Text: DOI arXiv
Pinelis, Iosif Positive-part moments via characteristic functions, and more general expressions. (English) Zbl 1387.60031 J. Theor. Probab. 31, No. 1, 527-555 (2018). Reviewer: Weiping Li (Stillwater) MSC: 60E10 60E07 62E15 60E15 PDF BibTeX XML Cite \textit{I. Pinelis}, J. Theor. Probab. 31, No. 1, 527--555 (2018; Zbl 1387.60031) Full Text: DOI arXiv
Beer, Gerald Functions with continuous upper and lower envelopes. (English) Zbl 1381.26004 Vietnam J. Math. 46, No. 1, 169-175 (2018). MSC: 26A15 26A21 28A05 54C30 PDF BibTeX XML Cite \textit{G. Beer}, Vietnam J. Math. 46, No. 1, 169--175 (2018; Zbl 1381.26004) Full Text: DOI
Jacob, Niels; Evans, Kristian P. A course in analysis. Volume III: Measure and integration theory, complex-valued functions of a complex variable. (English) Zbl 1381.28002 Hackensack, NJ: World Scientific (ISBN 978-981-3221-59-8/hbk). xxvi, 757 p. (2018). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 28-01 30-01 28Axx 30Dxx PDF BibTeX XML Cite \textit{N. Jacob} and \textit{K. P. Evans}, A course in analysis. Volume III: Measure and integration theory, complex-valued functions of a complex variable. Hackensack, NJ: World Scientific (2018; Zbl 1381.28002) Full Text: DOI
Beriashvili, Mariam; Kirtadze, Aleksi On the application of Bernstein type construction to measure extension problem. (English) Zbl 1513.28001 Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 31, 11-14 (2017). MSC: 28A05 28D05 PDF BibTeX XML Cite \textit{M. Beriashvili} and \textit{A. Kirtadze}, Rep. Enlarged Sess. Semin. I. Vekua Inst. Appl. Math. 31, 11--14 (2017; Zbl 1513.28001) Full Text: Link
Ponce, Augusto C.; van Schaftingen, Jean Gauge-measurable functions. (English) Zbl 1443.28001 Rend. Ist. Mat. Univ. Trieste 49, 113-135 (2017). MSC: 28A20 26A42 26B15 28A05 PDF BibTeX XML Cite \textit{A. C. Ponce} and \textit{J. van Schaftingen}, Rend. Ist. Mat. Univ. Trieste 49, 113--135 (2017; Zbl 1443.28001) Full Text: DOI arXiv
Rodríguez, José Open problems in Banach spaces and measure theory. (English) Zbl 1426.28026 Quaest. Math. 40, No. 6, 811-832 (2017). MSC: 28B05 28B20 46B26 46B50 46E30 46E40 PDF BibTeX XML Cite \textit{J. Rodríguez}, Quaest. Math. 40, No. 6, 811--832 (2017; Zbl 1426.28026) Full Text: DOI arXiv
Ganguly, D. K.; Biswas, B.; Dafadar, Alauddin Some properties of a function connecting to exponent of convergence for double sequences. (English) Zbl 1424.40002 J. Class. Anal. 10, No. 2, 109-117 (2017). MSC: 40A05 40B05 40J05 PDF BibTeX XML Cite \textit{D. K. Ganguly} et al., J. Class. Anal. 10, No. 2, 109--117 (2017; Zbl 1424.40002) Full Text: DOI
Marchese, Andrea Lusin type theorems for Radon measures. (English) Zbl 1382.28002 Rend. Semin. Mat. Univ. Padova 138, 193-207 (2017). MSC: 28A05 26B05 28C05 41A30 PDF BibTeX XML Cite \textit{A. Marchese}, Rend. Semin. Mat. Univ. Padova 138, 193--207 (2017; Zbl 1382.28002) Full Text: DOI arXiv
Tikhonov, Yu. V.; Shaposhnikov, S. V.; Sheipak, I. A. On the singularity of functions and the quantization of probability measures. (English. Russian original) Zbl 1384.60017 Math. Notes 102, No. 4, 587-590 (2017); translation from Mat. Zametki 102, No. 4, 628-631 (2017). MSC: 60B10 28A05 62E17 PDF BibTeX XML Cite \textit{Yu. V. Tikhonov} et al., Math. Notes 102, No. 4, 587--590 (2017; Zbl 1384.60017); translation from Mat. Zametki 102, No. 4, 628--631 (2017) Full Text: DOI
Ostrovsky, Alexey Luzin’s topological problem. (English) Zbl 1375.26006 Topology Appl. 230, 45-50 (2017). Reviewer: Jan Borsik (Kosice) MSC: 26A15 26A21 54C08 PDF BibTeX XML Cite \textit{A. Ostrovsky}, Topology Appl. 230, 45--50 (2017; Zbl 1375.26006) Full Text: DOI
Lipecki, Zbigniew Historical remarks on equivalence of functions. (English) Zbl 1371.28001 Bull. Pol. Acad. Sci., Math. 65, No. 1, 93-95 (2017). MSC: 28A05 28A20 PDF BibTeX XML Cite \textit{Z. Lipecki}, Bull. Pol. Acad. Sci., Math. 65, No. 1, 93--95 (2017; Zbl 1371.28001) Full Text: DOI
Kirtadze, Aleks On volume type functionals in Euclidean geometry. (English) Zbl 1474.51007 God. Sofiĭ. Univ., Fak. Mat. Inform. 103, 45-51 (2016). MSC: 51F20 52C10 28A05 PDF BibTeX XML Cite \textit{A. Kirtadze}, God. Sofiĭ. Univ., Fak. Mat. Inform. 103, 45--51 (2016; Zbl 1474.51007) Full Text: Link
Cabral, Raquel Marstrand’s approximate independence of sets and strong differentiation of the integral. (English) Zbl 1347.42043 Math. Scand. 119, No. 1, 92-112 (2016). MSC: 42B99 26B05 42B30 42B35 46E30 PDF BibTeX XML Cite \textit{R. Cabral}, Math. Scand. 119, No. 1, 92--112 (2016; Zbl 1347.42043) Full Text: DOI
Jabłońska, Eliza A theorem of Piccard’s type and its applications to polynomial functions and convex functions of higher orders. (English) Zbl 1387.54020 Topology Appl. 209, 46-55 (2016). MSC: 54H05 54E52 39B52 39B62 PDF BibTeX XML Cite \textit{E. Jabłońska}, Topology Appl. 209, 46--55 (2016; Zbl 1387.54020) Full Text: DOI arXiv
Zakharov, V. K.; Mikhalev, A. V.; Rodionov, T. V. Descriptive spaces and proper classes of functions. (English. Russian original) Zbl 1341.54020 J. Math. Sci., New York 213, No. 2, 163-200 (2016); translation from Fundam. Prikl. Mat. 19, No. 2, 51-107 (2014). Reviewer: Ryszard Pawlak (Łódź) MSC: 54H05 28A99 PDF BibTeX XML Cite \textit{V. K. Zakharov} et al., J. Math. Sci., New York 213, No. 2, 163--200 (2016; Zbl 1341.54020); translation from Fundam. Prikl. Mat. 19, No. 2, 51--107 (2014) Full Text: DOI
Kasrashvili, Tamar; Kirtadze, Aleks Elementary volume and measurability properties of additive functions. (English) Zbl 1335.51012 Georgian Math. J. 23, No. 1, 69-73 (2016). MSC: 51F20 52C10 28A05 PDF BibTeX XML Cite \textit{T. Kasrashvili} and \textit{A. Kirtadze}, Georgian Math. J. 23, No. 1, 69--73 (2016; Zbl 1335.51012) Full Text: DOI
Ghawadrah, Ghadeer Non-isomorphic complemented subspaces of the reflexive Orlicz function spaces \(L^\Phi[0,1]\). (English) Zbl 1346.46016 Proc. Am. Math. Soc. 144, No. 1, 285-299 (2016). MSC: 46B25 46E30 54H05 PDF BibTeX XML Cite \textit{G. Ghawadrah}, Proc. Am. Math. Soc. 144, No. 1, 285--299 (2016; Zbl 1346.46016) Full Text: DOI
Georgiou, D. N.; Megaritis, A. C.; Petropoulos, V. I. Topologies on the set of Borel maps of class \(\alpha\). (English) Zbl 1461.54038 Filomat 29, No. 1, 143-154 (2015). MSC: 54C35 54H05 46E30 PDF BibTeX XML Cite \textit{D. N. Georgiou} et al., Filomat 29, No. 1, 143--154 (2015; Zbl 1461.54038) Full Text: DOI
Miller, Harry I.; Miller-van Wieren, Leila Some further results on the Borwein-Ditor theorem. (English) Zbl 1337.28003 Adv. Math., Sci. J. 4, No. 2, 121-125 (2015). MSC: 28A12 28A05 PDF BibTeX XML Cite \textit{H. I. Miller} and \textit{L. Miller-van Wieren}, Adv. Math., Sci. J. 4, No. 2, 121--125 (2015; Zbl 1337.28003)
Kirtadze, A. On nonmeasurability of additive functions. (English) Zbl 1331.28004 Proc. A. Razmadze Math. Inst. 167, 136-137 (2015). MSC: 28A05 28D05 PDF BibTeX XML Cite \textit{A. Kirtadze}, Proc. A. Razmadze Math. Inst. 167, 136--137 (2015; Zbl 1331.28004)
Mustafayev, Rza; Ünver, Tuğçe Reverse Hardy-type inequalities for supremal operators with measures. (English) Zbl 1331.26032 Math. Inequal. Appl. 18, No. 4, 1295-1311 (2015). MSC: 26D10 26D15 46E30 PDF BibTeX XML Cite \textit{R. Mustafayev} and \textit{T. Ünver}, Math. Inequal. Appl. 18, No. 4, 1295--1311 (2015; Zbl 1331.26032) Full Text: DOI arXiv
Doležal, Martin; Vejnar, Benjamin Classification of the spaces \(C_p^\ast(X)\) within the Borel-Wadge hierarchy for a projective space \(X\). (English) Zbl 1371.03058 Topology Appl. 183, 11-17 (2015). MSC: 03E15 28A05 54C35 54H05 PDF BibTeX XML Cite \textit{M. Doležal} and \textit{B. Vejnar}, Topology Appl. 183, 11--17 (2015; Zbl 1371.03058) Full Text: DOI arXiv
Cúth, Marek; Rmoutil, Martin; Zelený, Miroslav On separable determination of \(\sigma\)-\(\mathbf P\)-porous sets in Banach spaces. (English) Zbl 1327.46022 Topology Appl. 180, 64-84 (2015). MSC: 46B26 46G05 28A05 54E35 58C20 PDF BibTeX XML Cite \textit{M. Cúth} et al., Topology Appl. 180, 64--84 (2015; Zbl 1327.46022) Full Text: DOI arXiv
Zagorodnyuk, S. M. On the density of polynomials in some spaces \(L^2(M)\). (English. Russian original) Zbl 1328.46028 Math. Notes 95, No. 1, 53-66 (2014); translation from Mat. Zametki 95, No. 1, 63-79 (2014). MSC: 46E30 41A10 PDF BibTeX XML Cite \textit{S. M. Zagorodnyuk}, Math. Notes 95, No. 1, 53--66 (2014; Zbl 1328.46028); translation from Mat. Zametki 95, No. 1, 63--79 (2014) Full Text: DOI
Pol, Roman; Smentek, Filip Note on \(K\)-analyticity and normality in function spaces. (English) Zbl 1322.54011 J. Math. Anal. Appl. 415, No. 1, 75-82 (2014). Reviewer: Ljubiša D. Kočinac (Niš) MSC: 54C35 28A05 46E99 54C10 PDF BibTeX XML Cite \textit{R. Pol} and \textit{F. Smentek}, J. Math. Anal. Appl. 415, No. 1, 75--82 (2014; Zbl 1322.54011) Full Text: DOI
Kharazishvili, A. To the existence of projective absolutely nonmeasurable functions. (English) Zbl 1321.28005 Proc. A. Razmadze Math. Inst. 166, 95-102 (2014). MSC: 28A05 28D05 PDF BibTeX XML Cite \textit{A. Kharazishvili}, Proc. A. Razmadze Math. Inst. 166, 95--102 (2014; Zbl 1321.28005)
Gutiérrez García, Javier; Kubiak, Tomasz Inserting measurable functions precisely. (English) Zbl 1349.28002 Czech. Math. J. 64, No. 3, 743-749 (2014). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 28A20 28A05 54A05 54C30 PDF BibTeX XML Cite \textit{J. Gutiérrez García} and \textit{T. Kubiak}, Czech. Math. J. 64, No. 3, 743--749 (2014; Zbl 1349.28002) Full Text: DOI Link
Rodionov, T. V.; Zakharov, V. K. A fine correlation between Baire and Borel functional hierarchies. (English) Zbl 1299.26007 Acta Math. Hung. 142, No. 2, 384-402 (2014). Reviewer: Gheorghe Toader (Cluj-Napoca) MSC: 26A21 54H05 28A20 PDF BibTeX XML Cite \textit{T. V. Rodionov} and \textit{V. K. Zakharov}, Acta Math. Hung. 142, No. 2, 384--402 (2014; Zbl 1299.26007) Full Text: DOI
Frankiewicz, Ryszard; Szczepaniak, Sławomir On partitions of Ellentuck-large sets. (English) Zbl 1295.54013 Topology Appl. 167, 80-86 (2014). Reviewer: Paolo Lipparini (Roma) MSC: 54B15 54D20 54H05 PDF BibTeX XML Cite \textit{R. Frankiewicz} and \textit{S. Szczepaniak}, Topology Appl. 167, 80--86 (2014; Zbl 1295.54013) Full Text: DOI arXiv
Higuchi, K.; Kihara, T. Inside the Muchnik degrees. II: The degree structures induced by the arithmetical hierarchy of countably continuous functions. (English) Zbl 1315.03072 Ann. Pure Appl. Logic 165, No. 6, 1201-1241 (2014). MSC: 03D30 03E15 26A21 68Q32 PDF BibTeX XML Cite \textit{K. Higuchi} and \textit{T. Kihara}, Ann. Pure Appl. Logic 165, No. 6, 1201--1241 (2014; Zbl 1315.03072) Full Text: DOI arXiv
Yeh, J. Real analysis. Theory of measure and integration. 3rd ed. (English) Zbl 1301.26002 Hackensack, NJ: World Scientific (ISBN 978-981-4578-53-0/hbk; 978-981-4578-54-7/ebook). xxiii, 815 p. (2014). Reviewer: Ryszard Pawlak (Łódź) MSC: 26-01 28-01 PDF BibTeX XML Cite \textit{J. Yeh}, Real analysis. Theory of measure and integration. 3rd ed. Hackensack, NJ: World Scientific (2014; Zbl 1301.26002) Full Text: DOI
Kharazishvili, Alexander B. On some real-valued step-functions with strange measurability properties. (English) Zbl 1286.28002 Georgian Math. J. 21, No. 1, 83-87 (2014). MSC: 28A20 28D05 22B99 PDF BibTeX XML Cite \textit{A. B. Kharazishvili}, Georgian Math. J. 21, No. 1, 83--87 (2014; Zbl 1286.28002) Full Text: DOI
Preiss, David; Saito, Shingo Knot points of typical continuous functions. (English) Zbl 1292.26014 Trans. Am. Math. Soc. 366, No. 2, 833-856 (2014). Reviewer: Peter Massopust (München) MSC: 26A27 26A21 28A05 54H05 PDF BibTeX XML Cite \textit{D. Preiss} and \textit{S. Saito}, Trans. Am. Math. Soc. 366, No. 2, 833--856 (2014; Zbl 1292.26014) Full Text: DOI arXiv Link
Yeh, J. Problems and proofs in real analysis. Theory of measure and integration. (English) Zbl 1296.26006 Hackensack, NJ: World Scientific (ISBN 978-981-4578-50-9/pbk). viii, 491 p. (2014). Reviewer: Mikhail P. Moklyachuk (Kyïv) MSC: 26-01 28-01 28Axx 26A42 00A07 PDF BibTeX XML Cite \textit{J. Yeh}, Problems and proofs in real analysis. Theory of measure and integration. Hackensack, NJ: World Scientific (2014; Zbl 1296.26006) Full Text: DOI
Georgiou, D. N.; Megaritis, A. C.; Petropoulos, V. I. Function measurable spaces. (English) Zbl 1354.54017 Topol. Proc. 43, 159-181 (2014). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 54C35 28A05 PDF BibTeX XML Cite \textit{D. N. Georgiou} et al., Topol. Proc. 43, 159--181 (2014; Zbl 1354.54017)
Kharazishvili, Alexander B. Additive properties of certain classes of pathological functions. (English) Zbl 1303.28001 Real Anal. Exch. 38(2012-2013), No. 2, 475-486 (2013). Reviewer: Enrico Zoli (Firenze) MSC: 28A05 28D05 PDF BibTeX XML Cite \textit{A. B. Kharazishvili}, Real Anal. Exch. 38, No. 2, 475--486 (2013; Zbl 1303.28001) Full Text: DOI Euclid
Basu, Sanjib Integrable functions versus a generalization of Lebesgue points in locally compact groups. (English) Zbl 1284.28001 Folia Math. 18, No. 1, 21-32 (2013). MSC: 28A05 28C15 PDF BibTeX XML Cite \textit{S. Basu}, Folia Math. 18, No. 1, 21--32 (2013; Zbl 1284.28001) Full Text: Link
Ostrovsky, Alexey Closed-constructible functions are piecewise closed. (English) Zbl 1288.54014 Topology Appl. 160, No. 13, 1675-1680 (2013). Reviewer: Luca Motto Ros (Freiburg im Breisgau) MSC: 54C10 28A05 03E15 54E40 26A21 PDF BibTeX XML Cite \textit{A. Ostrovsky}, Topology Appl. 160, No. 13, 1675--1680 (2013; Zbl 1288.54014) Full Text: DOI arXiv
Kharazishvili, Alexander Sums of absolutely nonmeasurable functions. (English) Zbl 1270.28002 Georgian Math. J. 20, No. 2, 271-282 (2013). MSC: 28A05 28D05 PDF BibTeX XML Cite \textit{A. Kharazishvili}, Georgian Math. J. 20, No. 2, 271--282 (2013; Zbl 1270.28002) Full Text: DOI
Niemiec, Piotr Spaces of measurable functions. (English) Zbl 1277.54021 Cent. Eur. J. Math. 11, No. 7, 1304-1316 (2013). Reviewer: Laszlo Zsilinszky (Pembroke) MSC: 54C55 46E30 54H05 57N20 58D15 PDF BibTeX XML Cite \textit{P. Niemiec}, Cent. Eur. J. Math. 11, No. 7, 1304--1316 (2013; Zbl 1277.54021) Full Text: DOI arXiv
Pramada, J.; Venkateswara Rao, J.; Anil Kumar, D. V. S. R. Characterization of Boolean valued star and mega lattice functions. (English) Zbl 1295.28003 Asian J. Algebra 5, No. 1, 1-10 (2012). MSC: 28A05 28A20 PDF BibTeX XML Cite \textit{J. Pramada} et al., Asian J. Algebra 5, No. 1, 1--10 (2012; Zbl 1295.28003) Full Text: DOI
Kharazishvili, Alexander B. A large group of nonmeasurable additive functions. (English) Zbl 1276.28003 Real Anal. Exch. 37(2011-2012), No. 2, 467-476 (2012). Reviewer: Miroslav Repický (Košice) MSC: 28A05 28D05 03E50 PDF BibTeX XML Cite \textit{A. B. Kharazishvili}, Real Anal. Exch. 37, No. 2, 467--476 (2012; Zbl 1276.28003) Full Text: DOI Euclid
Basu, Sanjib A few remarks on metric density and set porosity that are simple and interesting consequences of well known results. (English) Zbl 1392.28002 Real Anal. Exch. 37(2011-2012), No. 2, 425-438 (2012). Reviewer: Peter Massopust (München) MSC: 28A05 26A03 28A20 PDF BibTeX XML Cite \textit{S. Basu}, Real Anal. Exch. 37, No. 2, 425--438 (2012; Zbl 1392.28002) Full Text: DOI Euclid
Ostrovsky, Alexey An alternative approach to the decomposition of functions. (English) Zbl 1242.26005 Topology Appl. 159, No. 7, 2004-2008 (2012). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 26A21 03E15 28A05 54C10 26A15 54C08 PDF BibTeX XML Cite \textit{A. Ostrovsky}, Topology Appl. 159, No. 7, 2004--2008 (2012; Zbl 1242.26005) Full Text: DOI
Georgiou, Dimitris; Kougias, Ioannis; Megaritis, Athanasios Borel structures on the set of Borel mappings. (English) Zbl 1248.54011 Topology Appl. 159, No. 7, 1906-1915 (2012). Reviewer: Subiman Kundu (New Delhi) MSC: 54C35 54H05 28A05 PDF BibTeX XML Cite \textit{D. Georgiou} et al., Topology Appl. 159, No. 7, 1906--1915 (2012; Zbl 1248.54011) Full Text: DOI
Kąkol, J.; López-Pellicer, M. Note about Lindelöf \(\sigma \)-spaces \(\upsilon X\). (English) Zbl 1247.54025 Bull. Aust. Math. Soc. 85, No. 1, 114-120 (2012). Reviewer: Subiman Kundu (New Delhi) MSC: 54C35 54D35 46A50 54H05 28A05 PDF BibTeX XML Cite \textit{J. Kąkol} and \textit{M. López-Pellicer}, Bull. Aust. Math. Soc. 85, No. 1, 114--120 (2012; Zbl 1247.54025) Full Text: DOI
Niemiec, Piotr A problem with almost everywhere equality. (English) Zbl 1242.28002 Ann. Pol. Math. 104, No. 1, 105-108 (2012). MSC: 28A20 28A05 PDF BibTeX XML Cite \textit{P. Niemiec}, Ann. Pol. Math. 104, No. 1, 105--108 (2012; Zbl 1242.28002) Full Text: DOI arXiv
Bukovský, Lev; Šupina, Jaroslav Sequence selection principles for quasi-normal convergence. (English) Zbl 1233.54001 Topology Appl. 159, No. 1, 283-289 (2012). Reviewer: Tomasz Natkaniec (Gdańsk) MSC: 54A20 54C30 54G99 PDF BibTeX XML Cite \textit{L. Bukovský} and \textit{J. Šupina}, Topology Appl. 159, No. 1, 283--289 (2012; Zbl 1233.54001) Full Text: DOI
Pugach, P. A.; Shlyk, V. A. Generalized capacities and polyhedral surfaces. (English. Russian original) Zbl 1303.28017 J. Math. Sci., New York 178, No. 2, 201-218 (2011); translation from Zap. Nauchn. Semin. POMI 383, 148-178 (2010). MSC: 28B05 28A12 31B15 PDF BibTeX XML Cite \textit{P. A. Pugach} and \textit{V. A. Shlyk}, J. Math. Sci., New York 178, No. 2, 201--218 (2011; Zbl 1303.28017); translation from Zap. Nauchn. Semin. POMI 383, 148--178 (2010) Full Text: DOI
Zastavnyi, V. P.; Savchuk, V. V. Approximation of classes of convolutions by linear operators of special form. (English. Russian original) Zbl 1286.41007 Math. Notes 90, No. 3, 333-343 (2011); translation from Math. Zametki 90, No. 3, 351-361 (2011). Reviewer: Vijay Gupta (New Delhi) MSC: 41A25 41A30 PDF BibTeX XML Cite \textit{V. P. Zastavnyi} and \textit{V. V. Savchuk}, Math. Notes 90, No. 3, 333--343 (2011; Zbl 1286.41007); translation from Math. Zametki 90, No. 3, 351--361 (2011) Full Text: DOI
Filipów, Rafał; Nowik, Andrzej; Szuca, Piotr There are measurable Hamel functions. (English) Zbl 1260.28002 Real Anal. Exch. 36(2010-2011), No. 1, 223-230 (2011). Reviewer: Nikolaos Papanastassiou (Athens) MSC: 28A05 26A21 PDF BibTeX XML Cite \textit{R. Filipów} et al., Real Anal. Exch. 36, No. 1, 223--230 (2011; Zbl 1260.28002) Full Text: DOI Link
Kosiek, Marek; Rudol, Krzysztof Fibers of the \(L ^{\infty }\) algebra and disintegration of measures. (English) Zbl 1243.46042 Arch. Math. 97, No. 6, 559-567 (2011); corrigendum ibid. 100, No. 5, 437-438 (2013). Reviewer: Zbigniew Lipecki (Wrocław) MSC: 46J10 28A50 46E30 28A20 PDF BibTeX XML Cite \textit{M. Kosiek} and \textit{K. Rudol}, Arch. Math. 97, No. 6, 559--567 (2011; Zbl 1243.46042) Full Text: DOI arXiv
Sturm, Karl-Theodor Generalized Orlicz spaces and Wasserstein distances for convex-concave scale functions. (English) Zbl 1232.46028 Bull. Sci. Math. 135, No. 6-7, 795-802 (2011). Reviewer: Hans Weber (Udine) MSC: 46E30 60B05 28C99 PDF BibTeX XML Cite \textit{K.-T. Sturm}, Bull. Sci. Math. 135, No. 6--7, 795--802 (2011; Zbl 1232.46028) Full Text: DOI arXiv
Yayama, Yuki Existence of a measurable saturated compensation function between subshifts and its applications. (English) Zbl 1250.37020 Ergodic Theory Dyn. Syst. 31, No. 5, 1563-1589 (2011). MSC: 37D35 28A78 37C45 PDF BibTeX XML Cite \textit{Y. Yayama}, Ergodic Theory Dyn. Syst. 31, No. 5, 1563--1589 (2011; Zbl 1250.37020) Full Text: DOI arXiv
Beiglböck, Mathias; Schachermayer, Walter Duality for Borel measurable cost functions. (English) Zbl 1228.49046 Trans. Am. Math. Soc. 363, No. 8, 4203-4224 (2011). MSC: 49Q20 49N15 28A05 PDF BibTeX XML Cite \textit{M. Beiglböck} and \textit{W. Schachermayer}, Trans. Am. Math. Soc. 363, No. 8, 4203--4224 (2011; Zbl 1228.49046) Full Text: DOI arXiv
Kharazishvili, Alexander On a relationship between absolutely nonmeasurable functions and Sierpiński-Zygmund functions. (English) Zbl 1230.54019 Georgian Math. J. 18, No. 2, 249-258 (2011). Reviewer: Luca Motto Ros (Freiburg im Breisgau) MSC: 54C30 54H05 28A05 28E15 03E15 PDF BibTeX XML Cite \textit{A. Kharazishvili}, Georgian Math. J. 18, No. 2, 249--258 (2011; Zbl 1230.54019) Full Text: DOI
Motto Ros, Luca Game representations of classes of piecewise definable functions. (English) Zbl 1215.03060 Math. Log. Q. 57, No. 1, 95-112 (2011). Reviewer: Xianghui Shi (Beijing) MSC: 03E15 03E60 PDF BibTeX XML Cite \textit{L. Motto Ros}, Math. Log. Q. 57, No. 1, 95--112 (2011; Zbl 1215.03060) Full Text: DOI arXiv
Kharazishvili, A. B. Some combinatorial problems on the measurability of functions with respect to invariant extensions of the Lebesgue measure. (English) Zbl 1226.28002 Acta Univ. Carol., Math. Phys. 51, Suppl., 57-65 (2010). MSC: 28A05 28A20 28D05 PDF BibTeX XML Cite \textit{A. B. Kharazishvili}, Acta Univ. Carol., Math. Phys. 51, 57--65 (2010; Zbl 1226.28002) Full Text: EuDML Link
Kharazishvili, Alexander B. On almost measurable real-valued functions. (English) Zbl 1240.28001 Stud. Sci. Math. Hung. 47, No. 2, 257-266 (2010). Reviewer: George Stoica (Saint John) MSC: 28A05 28D05 PDF BibTeX XML Cite \textit{A. B. Kharazishvili}, Stud. Sci. Math. Hung. 47, No. 2, 257--266 (2010; Zbl 1240.28001) Full Text: DOI
Spurný, J. Borel sets and functions in topological spaces. (English) Zbl 1274.54100 Acta Math. Hung. 129, No. 1-2, 47-69 (2010). MSC: 54H05 28A05 PDF BibTeX XML Cite \textit{J. Spurný}, Acta Math. Hung. 129, No. 1--2, 47--69 (2010; Zbl 1274.54100) Full Text: DOI
Kharazishvili, Alexander On a relationship between the measurability and continuity of real-valued functions. (English) Zbl 1204.28001 Georgian Math. J. 17, No. 4, 649-661 (2010). MSC: 28A05 28A20 PDF BibTeX XML Cite \textit{A. Kharazishvili}, Georgian Math. J. 17, No. 4, 649--661 (2010; Zbl 1204.28001) Full Text: DOI
Shumilova, V. V. On the compactness principle in variable space \(L^p\) for periodic composite structures. (Russian. English summary) Zbl 1299.46031 Sib. Èlektron. Mat. Izv. 6, 526-532 (2009). MSC: 46E30 46B50 PDF BibTeX XML Cite \textit{V. V. Shumilova}, Sib. Èlektron. Mat. Izv. 6, 526--532 (2009; Zbl 1299.46031) Full Text: Link
Lax, Peter D. Rethinking the Lebesgue integral. (English) Zbl 1229.26019 Am. Math. Mon. 116, No. 10, 863-881 (2009). MSC: 26A42 97I50 28A05 28A25 46E30 PDF BibTeX XML Cite \textit{P. D. Lax}, Am. Math. Mon. 116, No. 10, 863--881 (2009; Zbl 1229.26019) Full Text: DOI
Kharazishvili, Alexander On nonmeasurable functions of two variables and iterated integrals. (English) Zbl 1182.28006 Georgian Math. J. 16, No. 4, 705-710 (2009). MSC: 28A05 28D05 PDF BibTeX XML Cite \textit{A. Kharazishvili}, Georgian Math. J. 16, No. 4, 705--710 (2009; Zbl 1182.28006)
Ivanishko, I. A.; Krotov, V. G. Compactness of embeddings of Sobolev type on metric measure spaces. (English. Russian original) Zbl 1192.46029 Math. Notes 86, No. 6, 775-788 (2009); translation from Mat. Zametki 86, No. 6, 829-844 (2009). MSC: 46E35 46E30 PDF BibTeX XML Cite \textit{I. A. Ivanishko} and \textit{V. G. Krotov}, Math. Notes 86, No. 6, 775--788 (2009; Zbl 1192.46029); translation from Mat. Zametki 86, No. 6, 829--844 (2009) Full Text: DOI
Bingham, N. H.; Ostaszewski, A. J. Infinite combinatorics in function spaces: category methods. (English) Zbl 1265.26004 Publ. Inst. Math., Nouv. Sér. 86(100), 55-73 (2009). Reviewer: Slobodanka Janković (Beograd) MSC: 26A03 26A12 28A05 PDF BibTeX XML Cite \textit{N. H. Bingham} and \textit{A. J. Ostaszewski}, Publ. Inst. Math., Nouv. Sér. 86(100), 55--73 (2009; Zbl 1265.26004) Full Text: DOI
Richardson, Leonard F. Measure and integration. A concise introduction to real analysis. (English) Zbl 1182.28003 Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-25954-2/hbk). xvi, 237 p. (2009). Reviewer: Ryszard Pawlak (Łódź) MSC: 28-01 26-01 PDF BibTeX XML Cite \textit{L. F. Richardson}, Measure and integration. A concise introduction to real analysis. Hoboken, NJ: John Wiley \& Sons (2009; Zbl 1182.28003)
Putinar, Mihai A Striktpositivstellensatz for measurable functions. (English) Zbl 1162.47015 C. R., Math., Acad. Sci. Paris 347, No. 7-8, 381-384 (2009); corrigendum ibid. 348, No. 1-2, 63 (2010). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A57 14P10 90C26 PDF BibTeX XML Cite \textit{M. Putinar}, C. R., Math., Acad. Sci. Paris 347, No. 7--8, 381--384 (2009; Zbl 1162.47015) Full Text: DOI arXiv
Shumilova, V. V. On the Poincaré inequality for periodic composite structures. (English. Russian original) Zbl 1238.28001 Proc. Steklov Inst. Math. 261, 295-297 (2008); translation from Tr. Mat. Inst. Steklova 261, 301-303 (2008). MSC: 28A12 28A05 35B27 46E30 74Q05 PDF BibTeX XML Cite \textit{V. V. Shumilova}, Proc. Steklov Inst. Math. 261, 295--297 (2008; Zbl 1238.28001); translation from Tr. Mat. Inst. Steklova 261, 301--303 (2008) Full Text: DOI
Burke, Dennis K.; Pol, Roman Non-measurability of evaluation maps on subsequentially complete Boolean algebras. (English) Zbl 1206.54018 N. Z. J. Math. 37, 9-13 (2008). Reviewer: Laszlo Zsilinszky (Pembroke) MSC: 54C35 46B20 54H05 PDF BibTeX XML Cite \textit{D. K. Burke} and \textit{R. Pol}, N. Z. J. Math. 37, 9--13 (2008; Zbl 1206.54018)
Aranđelović, Ivan D. On de Haan’s uniform convergence theorem. (English) Zbl 1199.26007 Math. Morav. 12, No. 2, 15-17 (2008). Reviewer: Slobodanka Janković (Beograd) MSC: 26A12 28A05 PDF BibTeX XML Cite \textit{I. D. Aranđelović}, Math. Morav. 12, No. 2, 15--17 (2008; Zbl 1199.26007)
Kharazishvili, Alexander B. Some properties of step-functions connected with extension of measures. (English) Zbl 1181.28001 Acta Univ. Carol., Math. Phys. 49, No. 2, 57-65 (2008). MSC: 28A05 28D05 PDF BibTeX XML Cite \textit{A. B. Kharazishvili}, Acta Univ. Carol., Math. Phys. 49, No. 2, 57--65 (2008; Zbl 1181.28001) Full Text: EuDML
Fremlin, D. H. Measure theory. Vol. 5. Set-theoretic measure theory. Part I, II. (English) Zbl 1166.28002 Colchester: Torres Fremlin (ISBN 978-0-9538129-5-0/Pt.I; 978-0-9538129-6-7/Pt.II). 292 p. (2008). Reviewer: Ryszard Pawlak (Łódź) MSC: 28-01 26-01 03-02 PDF BibTeX XML Cite \textit{D. H. Fremlin}, Measure theory. Vol. 5. Set-theoretic measure theory. Part I, II. Colchester: Torres Fremlin (2008; Zbl 1166.28002)