Kokilashvili, V.; Mastyło, M.; Meskhi, A. Multilinear fractional integrals in weighted grand Lebesgue spaces. (English) Zbl 1334.42029 Proc. A. Razmadze Math. Inst. 169, 141-153 (2015). MSC: 42B20 42B25 42B35 46E30 31E05 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Proc. A. Razmadze Math. Inst. 169, 141--153 (2015; Zbl 1334.42029)
Meskhi, A. Criteria for the boundedness of potential operators in grand Lebesgue spaces. (English) Zbl 1334.42030 Proc. A. Razmadze Math. Inst. 169, 119-132 (2015). MSC: 42B20 42B25 42B35 46E30 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 169, 119--132 (2015; Zbl 1334.42030) Full Text: arXiv
Kokilashvili, V.; Mastyło, M.; Meskhi, A. Multilinear maximal functions and singular integrals in weighted grand Lebesque spaces. (English) Zbl 1333.42038 Proc. A. Razmadze Math. Inst. 167, 142-150 (2015). MSC: 42B25 42B20 42B35 46E30 31E05 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Proc. A. Razmadze Math. Inst. 167, 142--150 (2015; Zbl 1333.42038)
Kokilashvili, V.; Meskhi, A. Some fundamental inequalities for trigonometric polynomials and imbeddings of grand Besov spaces. (English) Zbl 1327.46031 Proc. A. Razmadze Math. Inst. 165, 105-116 (2014). MSC: 46E30 46E35 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 165, 105--116 (2014; Zbl 1327.46031)
Kokilashvili, V.; Meskhi, A.; Zaighum, M. A. On sharp weighted bounds for one-sided operators norms. (English) Zbl 1297.42031 Proc. A. Razmadze Math. Inst. 164, 121-129 (2014). MSC: 42B25 42B20 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Proc. A. Razmadze Math. Inst. 164, 121--129 (2014; Zbl 1297.42031) Full Text: Link
Kokilashvili, V.; Meskhi, A. Integral operator in grand variable Lebesgue spaces. (English) Zbl 1290.42046 Proc. A. Razmadze Math. Inst. 162, 144-150 (2013). MSC: 42B25 42B20 42B35 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 162, 144--150 (2013; Zbl 1290.42046)
Kokilashvili, V.; Meskhi, A. Potentials with product kernels in grand Lebesgue spaces. (English) Zbl 1276.42017 Proc. A. Razmadze Math. Inst. 159, 158-161 (2012). MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 159, 158--161 (2012; Zbl 1276.42017)
Meskhi, A.; Murtaza, G.; Sarwar, M. Two-weight criteria for potentials with product kernels on cones of decreasing functions. (English) Zbl 1194.42027 Proc. A. Razmadze Math. Inst. 152, 144-153 (2010). MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{A. Meskhi} et al., Proc. A. Razmadze Math. Inst. 152, 144--153 (2010; Zbl 1194.42027)
Meskhi, A. Maximal functions and singular integrals in Morrey spaces associated with grand Lebesgue spaces. (English) Zbl 1194.42024 Proc. A. Razmadze Math. Inst. 151, 139-143 (2009). MSC: 42B20 42B25 46E30 47B38 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 151, 139--143 (2009; Zbl 1194.42024)
Kokilashvili, V.; Meskhi, A. Two-weight norm estimates for maximal, potential and singular operators in \(L^{p(x)}\) spaces. (English) Zbl 1177.42012 Proc. A. Razmadze Math. Inst. 149, 122-125 (2009). Reviewer: Alexander Tovstolis (Donetsk) MSC: 42B20 26D07 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 149, 122--125 (2009; Zbl 1177.42012)
Kokilashvili, V.; Meskhi, A. Two-weight criteria for one-sided strong fractional maximal functions. (English) Zbl 1169.42307 Proc. A. Razmadze Math. Inst. 149, 118-121 (2009). MSC: 42B20 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 149, 118--121 (2009; Zbl 1169.42307)
Kokilashvili, V.; Meskhi, A.; Sarwar, M. One and two weight norm estimates for one-sided operators in \(L^{p(\cdot)}\) spaces. (English) Zbl 1179.42011 Proc. A. Razmadze Math. Inst. 148, 126-133 (2008). MSC: 42B20 42B25 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Proc. A. Razmadze Math. Inst. 148, 126--133 (2008; Zbl 1179.42011)
Kokilashvili, V.; Meskhi, A. On the maximal and Fourier operators in weighted Lebesgue spaces with variable exponent. (English) Zbl 1149.42308 Proc. A. Razmadze Math. Inst. 146, 120-123 (2008). MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 146, 120--123 (2008; Zbl 1149.42308)
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. On one-sided operators in variable exponent Lebesgue spaces. (English) Zbl 1284.42054 Proc. A. Razmadze Math. Inst. 144, 126-131 (2007). MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{D. E. Edmunds} et al., Proc. A. Razmadze Math. Inst. 144, 126--131 (2007; Zbl 1284.42054)
Ashraf, U.; Asif, M.; Meskhi, A. On a class of bounded and compact higher dimensional kernel operators. (English) Zbl 1152.47013 Proc. A. Razmadze Math. Inst. 144, 121-125 (2007). Reviewer: Oscar Blasco (Valencia) MSC: 47B10 26A33 42B25 PDFBibTeX XMLCite \textit{U. Ashraf} et al., Proc. A. Razmadze Math. Inst. 144, 121--125 (2007; Zbl 1152.47013)
Kokilashvili, V.; Meskhi, A. On two-weight criteria for maximal function in \(L^{p(x)}\) spaces defined on an interval. (English) Zbl 1284.42057 Proc. A. Razmadze Math. Inst. 145, No. 2, 100-102 (2007). MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 145, No. 2, 100--102 (2007; Zbl 1284.42057)
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. Two-weight estimates in \(L^{p(x)}\) spaces for classical integral operators and applications to the norm summability of Fourier trigonometric series. (English) Zbl 1176.42016 Proc. A. Razmadze Math. Inst. 142, 123-128 (2006). MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{D. E. Edmunds} et al., Proc. A. Razmadze Math. Inst. 142, 123--128 (2006; Zbl 1176.42016)
Kokilashvili, V.; Meskhi, A. On two weight estimates for strong fractional maximal functions and potentials with multiple kernels. (English) Zbl 1169.42309 Proc. A. Razmadze Math. Inst. 137, 135-140 (2005). Reviewer: Mihai Turinici (Iaşi) MSC: 42B25 31B15 47G10 46E30 26A33 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 137, 135--140 (2005; Zbl 1169.42309)
Kokilashvili, V.; Meskhi, A.; Tsanava, Ts. Strong and iterated maximal functions, and applications to the mean summability of the double trigonometric Fourier series. (English) Zbl 1129.42339 Proc. A. Razmadze Math. Inst. 139, 132-136 (2005). MSC: 42B05 42B08 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Proc. A. Razmadze Math. Inst. 139, 132--136 (2005; Zbl 1129.42339)
Georgiev, V.; Meskhi, A. On a weighted Strichartz estimate for inhomogeneous wave equations. (English) Zbl 1330.35232 Proc. A. Razmadze Math. Inst. 139, 96-99 (2005). MSC: 35L05 35L15 35L70 35L75 35B45 PDFBibTeX XMLCite \textit{V. Georgiev} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 139, 96--99 (2005; Zbl 1330.35232)
Meskhi, A. On two-weight inequalities for multiple Hardy-type operators. (English) Zbl 1079.42006 Proc. A. Razmadze Math. Inst. 136, 149-153 (2004). MSC: 42B20 42B30 46E40 47B38 47G10 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 136, 149--153 (2004; Zbl 1079.42006)
Meskhi, A. On a measure of non-compactness for the Riesz transforms. (English) Zbl 1097.47506 Proc. A. Razmadze Math. Inst. 129, 156-157 (2002). Reviewer: Alexey N. Karapetyants (Rostov-na-Donu) MSC: 47B20 47G10 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 129, 156--157 (2002; Zbl 1097.47506)
Meskhi, A. Criteria of the boundedness and compactness for the Riemann-Liouville type discrete operators. (English) Zbl 1025.47030 Proc. A. Razmadze Math. Inst. 126, 119-121 (2001). MSC: 47G10 47B10 26A33 42B15 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 126, 119--121 (2001; Zbl 1025.47030)
Meskhi, A. On the measure of non-compactness and singular numbers for the Volterra integral operators. (English) Zbl 0999.47032 Proc. A. Razmadze Math. Inst. 123, 162-165 (2000). Reviewer: Anatoliy Aleksandrovich Kilbas (Minsk) MSC: 47G10 47B10 26A33 42B15 45P05 47H09 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 123, 162--165 (2000; Zbl 0999.47032)
Kokilashvili, V.; Meskhi, A. Norms of positive operators on some cones of functions defined on measure spaces. (English) Zbl 0974.47028 Proc. A. Razmadze Math. Inst. 122, 59-78 (2000). Reviewer: G.O.Okikiolu (London) MSC: 47B38 46E30 46A16 47G10 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 122, 59--78 (2000; Zbl 0974.47028)
Meskhi, A. Criteria for the boundedness and compactness for the generalized Riemann-Liouville transform. (English) Zbl 1094.42515 Proc. A. Razmadze Math. Inst. 121, 161-162 (1999). MSC: 42B20 42B25 46E30 26A33 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 121, 161--162 (1999; Zbl 1094.42515)
Edmunds, D. E.; Kokilashvili, V.; Meskhi, A. Boundedness and compactness of Hardy-type operators in Banach function spaces. (English) Zbl 1002.42014 Proc. A. Razmadze Math. Inst. 117, 7-30 (1998). Reviewer: Yang Dachun (Beijing) MSC: 42B25 47G10 47B38 PDFBibTeX XMLCite \textit{D. E. Edmunds} et al., Proc. A. Razmadze Math. Inst. 117, 7--30 (1998; Zbl 1002.42014)
Meskhi, A. Boundedness and compactness weighted criteria for Riemann-Liouville and one-sided maximal operators. (English) Zbl 0982.42013 Proc. A. Razmadze Math. Inst. 117, 126-128 (1998). MSC: 42B25 42B20 47G10 47B38 26A33 PDFBibTeX XMLCite \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 117, 126--128 (1998; Zbl 0982.42013)
Gabisonija, I.; Meskhi, A. Two-weighted inequalities for a discrete Hilbert transform. (English) Zbl 0924.42017 Proc. A. Razmadze Math. Inst. 116, 107-122 (1998). Reviewer: L.Pick (Praha) MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{I. Gabisonija} and \textit{A. Meskhi}, Proc. A. Razmadze Math. Inst. 116, 107--122 (1998; Zbl 0924.42017)