Akhobadze, Teimuraz; Gognadze, Giorgi On the asymptotic estimation for generalized Dirichlet integrals. (English) Zbl 07819002 Bull. Georgian Natl. Acad. Sci. (N.S.) 17, No. 4, 20-22 (2023). MSC: 26-XX 42-XX PDFBibTeX XMLCite \textit{T. Akhobadze} and \textit{G. Gognadze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 17, No. 4, 20--22 (2023; Zbl 07819002)
Kokilashvili, Vakhtang Boundedness criteria for Calderón singular integral operator in some grand function spaces. (English) Zbl 07643652 Bull. Georgian Natl. Acad. Sci. (N.S.) 15, No. 2, 7-13 (2021). MSC: 42B20 PDFBibTeX XMLCite \textit{V. Kokilashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 15, No. 2, 7--13 (2021; Zbl 07643652) Full Text: Link
Kokilashvili, Vakhtang On trigonometric approximation by angle of multivariable functions in weighted variable exponent mixed-norm Lebesgue spaces. (English) Zbl 1469.42006 Bull. Georgian Natl. Acad. Sci. (N.S.) 13, No. 3, 7-11 (2019). MSC: 42A10 42B35 PDFBibTeX XMLCite \textit{V. Kokilashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 13, No. 3, 7--11 (2019; Zbl 1469.42006) Full Text: Link
Kokilashvili, Vakhtang; Makharadze, Dali; Tsanava, Tsira Necessary and sufficient conditions for weighted boundedness of integral transforms defined on product spaces in generalized grand Lebesgue spaces. (English) Zbl 1440.42082 Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 1, 7-11 (2018). MSC: 42B25 42B35 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 12, No. 1, 7--11 (2018; Zbl 1440.42082) Full Text: Link
Gabidzashvili, Merab; Kokilashvili, Vakhtang; Tsanava, Tsira Fundamental inequalities for trigonometric polynomials in new function spaces and applications. (English) Zbl 1385.42001 Bull. Georgian Natl. Acad. Sci. (N.S.) 11, No. 1, 7-11 (2017). MSC: 42A05 PDFBibTeX XMLCite \textit{M. Gabidzashvili} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 11, No. 1, 7--11 (2017; Zbl 1385.42001) Full Text: Link
Gabisonia, Inga; Kokilashvili, Vakhtang; Makharadze, Dali On the approximation of periodic functions in variable exponent Lorentz spaces. (English) Zbl 1356.42002 Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 1, 7-11 (2016). MSC: 42A10 46E30 PDFBibTeX XMLCite \textit{I. Gabisonia} et al., Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 1, 7--11 (2016; Zbl 1356.42002) Full Text: Link
Akhobadze, Teimuraz; Gognadze, Giorgi On the asymptotic estimation of the generalized Cesàro means. (English) Zbl 1350.42003 Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 2, 7-9 (2016). MSC: 42A24 40G05 PDFBibTeX XMLCite \textit{T. Akhobadze} and \textit{G. Gognadze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 10, No. 2, 7--9 (2016; Zbl 1350.42003) Full Text: Link
Danelia, Nina; Kokilashvili, Vakhtang Approximation by trigonometric polynomials of fractional derivatives of periodic functions and the properties of conjugate functions in \(L^{p(x)}\) spaces when min \(p(x) = 1\). (English) Zbl 1352.42003 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 3, 7-11 (2015). MSC: 42A10 42A50 46E30 26A33 PDFBibTeX XMLCite \textit{N. Danelia} and \textit{V. Kokilashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 3, 7--11 (2015; Zbl 1352.42003) Full Text: Link
Tetunashvili, Shakro On some properties of sets of uniqueness of functional series. (English) Zbl 1347.42055 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 1, 12-15 (2015). Reviewer: József Sándor (Cluj-Napoca) MSC: 42C25 01A60 42A63 PDFBibTeX XMLCite \textit{S. Tetunashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 1, 12--15 (2015; Zbl 1347.42055) Full Text: Link
Kokilashvili, Vakhtang The inverse inequalities of trigonometric approximation in weighted variable exponent Lebesgue spaces with different space norms. (English) Zbl 1345.42002 Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 1, 7-11 (2015). MSC: 42A10 46E30 PDFBibTeX XMLCite \textit{V. Kokilashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 9, No. 1, 7--11 (2015; Zbl 1345.42002) Full Text: Link
Makharadze, Dali Note on Abel-Poisson means of trigonometric Fourier series. (English) Zbl 1290.42011 Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 3, 11-14 (2013). MSC: 42A24 PDFBibTeX XMLCite \textit{D. Makharadze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 3, 11--14 (2013; Zbl 1290.42011) Full Text: Link
Danelia, Nina; Kokilashvili, Vakhtang Approximation by trigonometric polynomials in subspace of weighted grand Lebesgue spaces. (English) Zbl 1281.42005 Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 1, 11-15 (2013). MSC: 42A10 42A24 PDFBibTeX XMLCite \textit{N. Danelia} and \textit{V. Kokilashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 7, No. 1, 11--15 (2013; Zbl 1281.42005) Full Text: Link
Oniani, Giorgi Divergence of Fourier series with respect to systems of products of bases. (English) Zbl 1281.42029 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 3, 5-9 (2012). MSC: 42C10 42B08 42B05 PDFBibTeX XMLCite \textit{G. Oniani}, Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 3, 5--9 (2012; Zbl 1281.42029) Full Text: Link
Oniani, Giorgi On the regular convergence by rectangles of multiple Fourier-Haar series. (English) Zbl 1281.42028 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 2, 31-33 (2012). MSC: 42C10 PDFBibTeX XMLCite \textit{G. Oniani}, Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 2, 31--33 (2012; Zbl 1281.42028) Full Text: Link
Danelia, Nina; Kokilashvili, Vakhtang On the approximation of periodic functions within the frame of grand Lebesgue spaces. (English) Zbl 1281.42004 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 2, 11-16 (2012). MSC: 42A10 PDFBibTeX XMLCite \textit{N. Danelia} and \textit{V. Kokilashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 2, 11--16 (2012; Zbl 1281.42004) Full Text: Link
Tetunashvili, Shakro On the reconstruction of coefficients of a multiple trigonometric series with Lebesgue nonintegrable sum. (English) Zbl 1247.42009 Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 1, 39-42 (2012). MSC: 42B05 42B08 PDFBibTeX XMLCite \textit{S. Tetunashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 6, No. 1, 39--42 (2012; Zbl 1247.42009)
Nadibaidze, Givi On the almost everywhere convergence and partial sum’s majorant of series with respect to block-orthonormal systems. (English) Zbl 1196.40004 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 3, 12-15 (2009). MSC: 40A30 42C05 PDFBibTeX XMLCite \textit{G. Nadibaidze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 3, 12--15 (2009; Zbl 1196.40004)
Kokilashvili, Vakhtang Boundedness criterion for the Cauchy singular integral operator and maximal functions in weighted grand Lebesgue spaces. (English) Zbl 1202.42030 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 3, 5-7 (2009). MSC: 42B20 42B25 PDFBibTeX XMLCite \textit{V. Kokilashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 3, 5--7 (2009; Zbl 1202.42030)
Makharadze, Dali Some approximate properties of the Cezàro means of order \(\alpha\in]0,1[\) of trigonometric Fourier series and its conjugate. (English) Zbl 1182.42008 Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 1, 40-44 (2009). Reviewer: Vitaly Vladimirovich Volchkov (Donetsk) MSC: 42A16 42A20 PDFBibTeX XMLCite \textit{D. Makharadze}, Bull. Georgian Natl. Acad. Sci. (N.S.) 3, No. 1, 40--44 (2009; Zbl 1182.42008)
Kokilashvili, Vakhtang; Meskhi, Alexander Maximal and potential operators in variable Morrey spaces defined on nondoubling quasimetric measure spaces. (English) Zbl 1217.42047 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 3, 18-21 (2008). MSC: 42B35 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{A. Meskhi}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 3, 18--21 (2008; Zbl 1217.42047)
Ephremidze, Lasha; Lagvilava, Edem On parametrization of compact wavelet matrices. (English) Zbl 1178.42036 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 23-28 (2008). MSC: 42C40 PDFBibTeX XMLCite \textit{L. Ephremidze} and \textit{E. Lagvilava}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 23--28 (2008; Zbl 1178.42036) Full Text: arXiv
Kokilashvili, Vakhtang Boundedness in Lebesgue spaces with variable exponent of the Calderón singular operator on Carleson curves. (English) Zbl 1178.42018 Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 5-7 (2008). MSC: 42B20 PDFBibTeX XMLCite \textit{V. Kokilashvili}, Bull. Georgian Natl. Acad. Sci. (N.S.) 2, No. 4, 5--7 (2008; Zbl 1178.42018)