Gogatishvili, Amiran; Pick, Luboš; Ünver, Tuğçe Weighted inequalities involving Hardy and Copson operators. (English) Zbl 1509.26012 J. Funct. Anal. 283, No. 12, Article ID 109719, 50 p. (2022). MSC: 26D10 46E30 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., J. Funct. Anal. 283, No. 12, Article ID 109719, 50 p. (2022; Zbl 1509.26012) Full Text: DOI arXiv
Gogatishvili, Amiran; Neves, Júlio S. Corrigendum to: “Weighted norm inequalities for positive operators restricted on the cone of \(\lambda \)-quasiconcave functions”. (English) Zbl 1483.26017 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 2, 542-543 (2022). MSC: 26D10 26D07 26D15 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{J. S. Neves}, Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 2, 542--543 (2022; Zbl 1483.26017) Full Text: DOI
Gogatishvili, Amiran; Mihula, Zdeněk; Pick, Luboš; Turčinová, Hana; Ünver, Tuğçe Weighted inequalities for a superposition of the copson operator and the Hardy operator. (English) Zbl 1496.26020 J. Fourier Anal. Appl. 28, No. 2, Paper No. 24, 24 p. (2022). MSC: 26D10 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., J. Fourier Anal. Appl. 28, No. 2, Paper No. 24, 24 p. (2022; Zbl 1496.26020) Full Text: DOI arXiv
Gogatishvili, Amiran; Ünver, Tuğçe Weighted inequalities involving iteration of two Hardy integral operators. arXiv:2201.11437 Preprint, arXiv:2201.11437 [math.FA] (2022). MSC: 26D10 BibTeX Cite \textit{A. Gogatishvili} and \textit{T. Ünver}, ``Weighted inequalities involving iteration of two Hardy integral operators'', Preprint, arXiv:2201.11437 [math.FA] (2022) Full Text: arXiv OA License
Gogatishvili, Amiran; Mihula, Zdeněk; Pick, Luboš; Turčinová, Hana; Ünver, Tuğçe Embeddings between generalized weighted Lorentz spaces. arXiv:2210.12988 Preprint, arXiv:2210.12988 [math.FA] (2022). MSC: 46E30 26D10 BibTeX Cite \textit{A. Gogatishvili} et al., ``Embeddings between generalized weighted Lorentz spaces'', Preprint, arXiv:2210.12988 [math.FA] (2022) Full Text: arXiv OA License
Gogatishvili, Amiran; Pick, Luboš The two-weight Hardy inequality: a new elementary and universal proof. arXiv:2109.15011 Preprint, arXiv:2109.15011 [math.CA] (2021). MSC: 26D10 BibTeX Cite \textit{A. Gogatishvili} and \textit{L. Pick}, ``The two-weight Hardy inequality: a new elementary and universal proof'', Preprint, arXiv:2109.15011 [math.CA] (2021) Full Text: arXiv OA License
Gogatishvili, Amiran; Neves, Júlio S. Weighted norm inequalities for positive operators restricted on the cone of \(\lambda\)-quasiconcave functions. (English) Zbl 1440.26016 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 17-39 (2020); corrigendum ibid. 152, No. 2, 542-543 (2022). Reviewer: Ioan Raşa (Cluj-Napoca) MSC: 26D10 26D07 26D15 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{J. S. Neves}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 1, 17--39 (2020; Zbl 1440.26016) Full Text: DOI
Gogatishvili, Amiran; Unver, Tugce Embeddings between weighted local Morrey-type spaces. (English) Zbl 1457.46037 Nonlinear Stud. 26, No. 4, 805-819 (2019). MSC: 46E30 26D10 42B35 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{T. Unver}, Nonlinear Stud. 26, No. 4, 805--819 (2019; Zbl 1457.46037) Full Text: arXiv Link
Evans, William Desmond; Gogatishvili, Amiran; Opic, Bohumír Weighted inequalities involving \(\rho\)-quasiconcave operators. (English) Zbl 1410.26008 Hackensack, NJ: World Scientific (ISBN 978-981-3239-62-3/hbk; 978-981-3239-64-7/ebook). xv, 140 p. (2018). Reviewer: Andrey Zahariev (Plovdiv) MSC: 26-02 26D07 26D10 PDFBibTeX XMLCite \textit{W. D. Evans} et al., Weighted inequalities involving \(\rho\)-quasiconcave operators. Hackensack, NJ: World Scientific (2018; Zbl 1410.26008) Full Text: DOI
Gogatishvili, Amiran; Mustafayev, Rza; Ünver, Tuğçe Embedding relations between weighted complementary local Morrey-type spaces and weighted local Morrey-type spaces. (English) Zbl 1463.46050 Eurasian Math. J. 8, No. 1, 34-49 (2017). MSC: 46E30 26D10 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Eurasian Math. J. 8, No. 1, 34--49 (2017; Zbl 1463.46050) Full Text: MNR
Gogatishvili, Amiran; Mustafayev, Rza Ch. Iterated Hardy-type inequalities involving suprema. (English) Zbl 1379.26018 Math. Inequal. Appl. 20, No. 4, 901-927 (2017). MSC: 26D10 26D15 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{R. Ch. Mustafayev}, Math. Inequal. Appl. 20, No. 4, 901--927 (2017; Zbl 1379.26018) Full Text: DOI arXiv
Gogatishvili, Amiran; Mustafayev, Rza; Ünver, Tuğçe Embeddings between weighted Copson and Cesàro function spaces. (English) Zbl 1464.46029 Czech. Math. J. 67, No. 4, 1105-1132 (2017). MSC: 46E30 26D10 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Czech. Math. J. 67, No. 4, 1105--1132 (2017; Zbl 1464.46029) Full Text: DOI arXiv
Gogatishvili, Amiran; Mustafayev, Rza Ch. Weighted iterated Hardy-type inequalities. (English) Zbl 1375.26032 Math. Inequal. Appl. 20, No. 3, 683-728 (2017). MSC: 26D10 26D15 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{R. Ch. Mustafayev}, Math. Inequal. Appl. 20, No. 3, 683--728 (2017; Zbl 1375.26032) Full Text: DOI
Gogatishvili, Amiran; Křepela, Martin; Pick, Luboš; Soudský, Filip Embeddings of Lorentz-type spaces involving weighted integral means. (English) Zbl 1383.46023 J. Funct. Anal. 273, No. 9, 2939-2980 (2017). MSC: 46E30 47G10 47B38 26D10 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., J. Funct. Anal. 273, No. 9, 2939--2980 (2017; Zbl 1383.46023) Full Text: DOI
Gogatishvili, Amiran; Mustafayev, Rza; Ünver, Tuğçe Embeddings between weighted complementary local Morrey-type spaces and weighted local Morrey-type spaces. arXiv:1606.06745 Preprint, arXiv:1606.06745 [math.FA] (2016). MSC: 46E30 26D10 BibTeX Cite \textit{A. Gogatishvili} et al., ``Embeddings between weighted complementary local Morrey-type spaces and weighted local Morrey-type spaces'', Preprint, arXiv:1606.06745 [math.FA] (2016) Full Text: arXiv OA License
Gogatishvili, Amiran; Kerman, Ron The rearrangement-invariant space \(\Gamma _{p,\phi}\). (English) Zbl 1311.46025 Positivity 18, No. 2, 319-345 (2014). MSC: 46E30 26D10 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{R. Kerman}, Positivity 18, No. 2, 319--345 (2014; Zbl 1311.46025) Full Text: DOI arXiv
Gogatishvili, Amiran; Persson, Lars-Erik; Stepanov, Vladimir D.; Wall, Peter Some scales of equivalent conditions to characterize the Stieltjes inequality: the case \(q<p\). (English) Zbl 1298.26052 Math. Nachr. 287, No. 2-3, 242-253 (2014). Reviewer: Árpád Baricz (Dealu) MSC: 26D10 26D15 47B38 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Math. Nachr. 287, No. 2--3, 242--253 (2014; Zbl 1298.26052) Full Text: DOI
Gogatishvili, Amiran; Mustafayev, Rza; Persson, Lars-Erik Some new iterated Hardy-type inequalities: the case \({\theta=1}\). (English) Zbl 1297.26035 J. Inequal. Appl. 2013, Paper No. 515, 29 p. (2013). MSC: 26D10 46E20 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., J. Inequal. Appl. 2013, Paper No. 515, 29 p. (2013; Zbl 1297.26035) Full Text: DOI arXiv
Gogatishvili, Amiran; Kufner, Alois; Persson, Lars-Erik The weighted Stieltjes inequality and applications. (English) Zbl 1268.26026 Math. Nachr. 286, No. 7, 659-668 (2013). MSC: 26D10 26D15 47B07 47B38 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Math. Nachr. 286, No. 7, 659--668 (2013; Zbl 1268.26026) Full Text: DOI
Gogatishvili, A.; Stepanov, V. D. Integral operators on cones of monotone functions. (English. Russian original) Zbl 1263.47057 Dokl. Math. 86, No. 2, 650-653 (2012); translation from Dokl. Akad. Nauk. 446, No. 4, 367-370 (2012). Reviewer: Fayou Zhao (Shanghai) MSC: 47G10 26D10 26D15 26D07 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{V. D. Stepanov}, Dokl. Math. 86, No. 2, 650--653 (2012; Zbl 1263.47057); translation from Dokl. Akad. Nauk. 446, No. 4, 367--370 (2012) Full Text: DOI
Gogatishvili, A.; Stepanov, V. D. Integral operators on cones of monotone functions. (English. Russian original) Zbl 1281.26014 Dokl. Math. 86, No. 1, 562-565 (2012); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 6, 618-621 (2012). Reviewer: Joaquím Martín (Barcelona) MSC: 26D10 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{V. D. Stepanov}, Dokl. Math. 86, No. 1, 562--565 (2012; Zbl 1281.26014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 6, 618--621 (2012) Full Text: DOI
Gogatishvili, A.; Mustafayev, R. Ch. The multidimensional reverse Hardy inequalities. (English) Zbl 1238.26014 Math. Inequal. Appl. 15, No. 1, 1-14 (2012). MSC: 26D10 26D15 46E30 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{R. Ch. Mustafayev}, Math. Inequal. Appl. 15, No. 1, 1--14 (2012; Zbl 1238.26014) Full Text: DOI
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír Compact embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness. (English) Zbl 1213.46029 Z. Anal. Anwend. 30, No. 1, 1-27 (2011). MSC: 46E35 46E30 26B35 26A15 26A16 26A12 26D10 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Z. Anal. Anwend. 30, No. 1, 1--27 (2011; Zbl 1213.46029) Full Text: DOI
Gogatishvili, Amiran; Neves, Júlio S.; Opic, Bohumír Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness. (English) Zbl 1197.46017 Potential Anal. 32, No. 3, 201-228 (2010). MSC: 46E35 46E30 26B35 26D15 26D10 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Potential Anal. 32, No. 3, 201--228 (2010; Zbl 1197.46017) Full Text: DOI
Gogatishvili, A.; Kufner, A.; Persson, L.-E. Some new scales of weight characterizations of the class \(B_p\). (English) Zbl 1199.26057 Acta Math. Hung. 123, No. 4, 365-377 (2009). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 26D10 26D15 47B07 47B38 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Acta Math. Hung. 123, No. 4, 365--377 (2009; Zbl 1199.26057) Full Text: DOI
Carro, María; Gogatishvili, Amiran; Martín, Joaquim; Pick, Luboš Weighted inequalities involving two Hardy operators with applications to embeddings of function spaces. (English) Zbl 1150.26001 J. Oper. Theory 59, No. 2, 309-332 (2008). Reviewer: Sotiris Ntouyas (Ioannina) MSC: 26-XX 26D10 46E20 PDFBibTeX XMLCite \textit{M. Carro} et al., J. Oper. Theory 59, No. 2, 309--332 (2008; Zbl 1150.26001)
Caetano, António M.; Gogatishvili, Amiran; Opic, Bohumir Sharp embeddings of Besov spaces involving only logarithmic smoothness. (English) Zbl 1161.46017 J. Approx. Theory 152, No. 2, 188-214 (2008). Reviewer: Dorothee Haroske (Jena) MSC: 46E35 46E30 26D10 PDFBibTeX XMLCite \textit{A. M. Caetano} et al., J. Approx. Theory 152, No. 2, 188--214 (2008; Zbl 1161.46017) Full Text: DOI
Gogatishvili, A.; Kuliev, K.; Kulieva, G. Some conditions characterizing the “reverse” Hardy inequality. (English) Zbl 1170.26011 Real Anal. Exch. 33(2007-2008), No. 1, 249-258 (2008). Reviewer: Fabrice Colin (Sudbury) MSC: 26D10 26D15 47B38 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Real Anal. Exch. 33, No. 1, 249--258 (2008; Zbl 1170.26011) Full Text: DOI Euclid
Evans, W. Desmond; Gogatishvili, Amiran; Opic, Bohumír The reverse Hardy inequality with measures. (English) Zbl 1136.26004 Math. Inequal. Appl. 11, No. 1, 43-74 (2008). MSC: 26D10 26D15 46E30 PDFBibTeX XMLCite \textit{W. D. Evans} et al., Math. Inequal. Appl. 11, No. 1, 43--74 (2008; Zbl 1136.26004) Full Text: DOI
Gogatishvili, Amiran; Pick, Luboš A reduction theorem for supremum operators. (English) Zbl 1127.26012 J. Comput. Appl. Math. 208, No. 1, 270-279 (2007). Reviewer: Sotiris K. Ntouyas (Ioannina) MSC: 26D10 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{L. Pick}, J. Comput. Appl. Math. 208, No. 1, 270--279 (2007; Zbl 1127.26012) Full Text: DOI
Gogatishvili, A.; Johansson, M.; Okpoti, C. A.; Persson, L.-E. Characterisation of embeddings in Lorentz spaces. (English) Zbl 1128.26012 Bull. Aust. Math. Soc. 76, No. 1, 69-92 (2007). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 26D10 47B37 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Bull. Aust. Math. Soc. 76, No. 1, 69--92 (2007; Zbl 1128.26012) Full Text: DOI
Gogatishvili, Amiran; Kufner, Alois; Persson, Lars-Erik; Wedestig, Anna Compactness of the Hardy operator and its limiting case. (English) Zbl 1114.26013 Soochow J. Math. 32, No. 1, 21-35 (2006). Reviewer: Stefan G. Samko (Faro) MSC: 26D10 26D15 47B07 47B38 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Soochow J. Math. 32, No. 1, 21--35 (2006; Zbl 1114.26013)
Gogatishvili, Amiran; Opic, Bohumír; Pick, Luboš Weighted inequalities for Hardy-type operators involving suprema. (English) Zbl 1116.47041 Collect. Math. 57, No. 3, 227-255 (2006). Reviewer: Constantin Corduneanu (Arlington) MSC: 47G10 26D15 26D10 42B25 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Collect. Math. 57, No. 3, 227--255 (2006; Zbl 1116.47041) Full Text: EuDML
Gogatishvili, Amiran; Pick, Luboš Embeddings and duality theorem for weak classical Lorentz spaces. (English) Zbl 1106.26018 Can. Math. Bull. 49, No. 1, 82-95 (2006). Reviewer: Chun-Gil Park (Daejeon) MSC: 26D10 46E30 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{L. Pick}, Can. Math. Bull. 49, No. 1, 82--95 (2006; Zbl 1106.26018) Full Text: DOI
Gogatishvili, Amiram; Kufner, Alois; Persson, Lars-Erik; Wedestig, Anna An equivalence theorem for integral conditions related to Hardy’s inequality. (English) Zbl 1070.26015 Real Anal. Exch. 29(2003-2004), No. 2, 867-880 (2004). Reviewer: Bohumír Opic (Praha) MSC: 26D10 26D15 47B38 46E30 PDFBibTeX XMLCite \textit{A. Gogatishvili} et al., Real Anal. Exch. 29, No. 2, 867--880 (2004; Zbl 1070.26015) Full Text: DOI
Gogatishvili, Amiran; Pick, Luboš Discretization and anti-discretization of rearrangement-invariant norms. (English) Zbl 1066.46023 Publ. Mat., Barc. 47, No. 2, 311-358 (2003). Reviewer: Nicolae Popa (Bucureşti) MSC: 46E30 26D10 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{L. Pick}, Publ. Mat., Barc. 47, No. 2, 311--358 (2003; Zbl 1066.46023) Full Text: DOI EuDML
Gogatishvili, Amiran; Pick, Luboš Duality principles and reduction theorems. (English) Zbl 0985.46013 Math. Inequal. Appl. 3, No. 4, 539-558 (2000). Reviewer: A.Smajdor (Katowice) MSC: 46E30 26D10 PDFBibTeX XMLCite \textit{A. Gogatishvili} and \textit{L. Pick}, Math. Inequal. Appl. 3, No. 4, 539--558 (2000; Zbl 0985.46013) Full Text: DOI
Genebashvili, I.; Gogatishvili, A.; Kokilashvili, V.; Krbec, M. Weight theory for integral transforms on spaces of homogeneous type. (English) Zbl 0955.42001 Pitman Monographs and Surveys in Pure and Applied Mathematics. 92. Harlow: Longman. xii, 410 p. (1998). Reviewer: N.K.Karapetyants (Rostov-na-Donu) MSC: 42-02 42B20 42B25 43A85 26A33 46E30 PDFBibTeX XMLCite \textit{I. Genebashvili} et al., Weight theory for integral transforms on spaces of homogeneous type. Harlow: Longman (1998; Zbl 0955.42001)