Akgün, Ramazan A modulus of smoothness for some Banach function spaces. (English) Zbl 07786481 Ukr. Math. J. 75, No. 8, 1159-1177 (2024) and Ukr. Mat. Zh. 75, No. 8, 1015-1031 (2023). MSC: 41Axx 46Exx 42Axx PDFBibTeX XMLCite \textit{R. Akgün}, Ukr. Math. J. 75, No. 8, 1159--1177 (2024; Zbl 07786481) Full Text: DOI
Karlovych, Oleksiy; Shargorodsky, Eugene Bounded compact and dual compact approximation properties of Hardy spaces: new results and open problems. (English) Zbl 07786248 Indag. Math., New Ser. 35, No. 1, 143-158 (2024). MSC: 46B28 46E30 42B30 PDFBibTeX XMLCite \textit{O. Karlovych} and \textit{E. Shargorodsky}, Indag. Math., New Ser. 35, No. 1, 143--158 (2024; Zbl 07786248) Full Text: DOI arXiv
Yang, Shuai; Sun, Jiawei; Li, Baode Maximal and Calderón-Zygmund operators in grand variable Lebesgue spaces. (English) Zbl 1515.42013 Banach J. Math. Anal. 17, No. 3, Paper No. 46, 28 p. (2023). MSC: 42B20 42B25 42B30 46E35 PDFBibTeX XMLCite \textit{S. Yang} et al., Banach J. Math. Anal. 17, No. 3, Paper No. 46, 28 p. (2023; Zbl 1515.42013) Full Text: DOI
Karlovych, Oleksiy; Shargorodsky, Eugene Remark on singular integral operators of convolution type on rearrangement-invariant Banach function spaces. (English) Zbl 1516.42011 Real Anal. Exch. 48, No. 1, 139-148 (2023). Reviewer: Pablo Alejandro Rocha (Buenos Aires) MSC: 42B20 42A85 46E30 PDFBibTeX XMLCite \textit{O. Karlovych} and \textit{E. Shargorodsky}, Real Anal. Exch. 48, No. 1, 139--148 (2023; Zbl 1516.42011) Full Text: DOI Link
Diening, Lars; Karlovych, Oleksiy; Shargorodsky, Eugene Addendum to: “On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded”. (English) Zbl 1520.46013 Georgian Math. J. 30, No. 2, 211-212 (2023). MSC: 46E30 42B25 46B70 PDFBibTeX XMLCite \textit{L. Diening} et al., Georgian Math. J. 30, No. 2, 211--212 (2023; Zbl 1520.46013) Full Text: DOI
Tao, Jin; Yang, Dachun; Yuan, Wen; Zhang, Yangyang Compactness characterizations of commutators on ball Banach function spaces. (English) Zbl 07673632 Potential Anal. 58, No. 4, 645-679 (2023). MSC: 47B47 42B20 42B25 42B30 42B35 46E30 PDFBibTeX XMLCite \textit{J. Tao} et al., Potential Anal. 58, No. 4, 645--679 (2023; Zbl 07673632) Full Text: DOI arXiv
Fernandes, C. A.; Karlovich, A. Yu.; Karlovich, Yu. I. Fourier convolution operators with symbols equivalent to zero at infinity on Banach function spaces. (English) Zbl 07819123 Cerejeiras, Paula (ed.) et al., Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 – August 3, 2019. Cham: Birkhäuser. Trends Math., 335-343 (2022). MSC: 47G10 42A45 46E30 PDFBibTeX XMLCite \textit{C. A. Fernandes} et al., in: Current trends in analysis, its applications and computation. Proceedings of the 12th ISAAC congress, Aveiro, Portugal, July 29 -- August 3, 2019. Cham: Birkhäuser. 335--343 (2022; Zbl 07819123) Full Text: DOI arXiv
Fernandes, Cláudio; Karlovych, Oleksiy; Medalha, Samuel Invertibility of Fourier convolution operators with pc symbols on variable Lebesgue spaces with Khvedelidze weights. (English) Zbl 07798330 J. Math. Sci., New York 266, No. 3, Series A, 419-434 (2022). MSC: 47G10 42A45 46E30 PDFBibTeX XMLCite \textit{C. Fernandes} et al., J. Math. Sci., New York 266, No. 3, 419--434 (2022; Zbl 07798330) Full Text: DOI
Diening, Lars; Karlovych, Oleksiy; Shargorodsky, Eugene On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded. (English) Zbl 1504.46031 Georgian Math. J. 29, No. 3, 347-352 (2022); addendum ibid. 30, No. 2, 211-212 (2023). Reviewer: A. Turan Gürkanlı (İstanbul) MSC: 46E30 42B25 46B70 PDFBibTeX XMLCite \textit{L. Diening} et al., Georgian Math. J. 29, No. 3, 347--352 (2022; Zbl 1504.46031) Full Text: DOI
Asim, Muhammad; Hussain, Amjad; Sarfraz, Naqash Weighted variable Morrey-Herz estimates for fractional Hardy operators. (English) Zbl 1506.42016 J. Inequal. Appl. 2022, Paper No. 2, 12 p. (2022). MSC: 42B20 42B35 42B25 46E30 46E35 26A33 PDFBibTeX XMLCite \textit{M. Asim} et al., J. Inequal. Appl. 2022, Paper No. 2, 12 p. (2022; Zbl 1506.42016) Full Text: DOI
Karlovich, Alexei; Shargorodsky, Eugene A lower estimate for weak-type Fourier multipliers. (English) Zbl 1487.42025 Complex Var. Elliptic Equ. 67, No. 3, 642-660 (2022). Reviewer: A. Turan Gürkanlı (İstanbul) MSC: 42B15 46E30 PDFBibTeX XMLCite \textit{A. Karlovich} and \textit{E. Shargorodsky}, Complex Var. Elliptic Equ. 67, No. 3, 642--660 (2022; Zbl 1487.42025) Full Text: DOI
Fernandes, C.; Karlovich, A.; Valente, M. Invertibility of Fourier convolution operators with piecewise continuous symbols on Banach function spaces. (English) Zbl 07449531 Trans. A. Razmadze Math. Inst. 175, No. 1, 49-61 (2021). MSC: 47G10 42A45 46E30 PDFBibTeX XMLCite \textit{C. Fernandes} et al., Trans. A. Razmadze Math. Inst. 175, No. 1, 49--61 (2021; Zbl 07449531) Full Text: Link
Hussain, Amjad; Asim, Muhammad; Aslam, Muhammad; Jarad, Fahd Commutators of the fractional Hardy operator on weighted variable Herz-Morrey spaces. (English) Zbl 1523.42025 J. Funct. Spaces 2021, Article ID 9705250, 10 p. (2021). Reviewer: Oleksiy Karlovych (Lisboa) MSC: 42B20 46E30 PDFBibTeX XMLCite \textit{A. Hussain} et al., J. Funct. Spaces 2021, Article ID 9705250, 10 p. (2021; Zbl 1523.42025) Full Text: DOI
Fernandes, C. A.; Karlovich, A. Yu.; Karlovich, Yu. I. Calkin images of Fourier convolution operators with slowly oscillating symbols. (English) Zbl 07393030 Bastos, M. Amélia (ed.) et al., Operator theory, functional analysis and applications. Proceedings of the 30th international workshop on operator theory and its applications, IWOTA 2019, Lisbon, Portugal, July 22–26, 2019. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 282, 193-218 (2021). Reviewer: I. M. Erusalimskiy (Rostow-na-Donu) MSC: 47G10 42A45 46E30 PDFBibTeX XMLCite \textit{C. A. Fernandes} et al., Oper. Theory: Adv. Appl. 282, 193--218 (2021; Zbl 07393030) Full Text: DOI arXiv
Karlovich, Alexei; Shargorodsky, Eugene Algebras of convolution type operators with continuous data do not always contain all rank one operators. (English) Zbl 1477.47095 Integral Equations Oper. Theory 93, No. 2, Paper No. 16, 24 p. (2021). MSC: 47L80 47G10 46E30 42A45 PDFBibTeX XMLCite \textit{A. Karlovich} and \textit{E. Shargorodsky}, Integral Equations Oper. Theory 93, No. 2, Paper No. 16, 24 p. (2021; Zbl 1477.47095) Full Text: DOI arXiv
Karlovich, Alexei Yu. Wavelet bases in Banach function spaces. (English) Zbl 1475.46031 Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1669-1689 (2021). MSC: 46E30 46B15 42C40 PDFBibTeX XMLCite \textit{A. Yu. Karlovich}, Bull. Malays. Math. Sci. Soc. (2) 44, No. 3, 1669--1689 (2021; Zbl 1475.46031) Full Text: DOI
Pradolini, Gladis; Ramos, Wilfredo; Recchi, Jorgelina On the optimal numerical parameters related with two weighted estimates for commutators of classical operators and extrapolation results. (English) Zbl 1457.42029 Collect. Math. 72, No. 1, 229-259 (2021). MSC: 42B20 42B25 42B35 PDFBibTeX XMLCite \textit{G. Pradolini} et al., Collect. Math. 72, No. 1, 229--259 (2021; Zbl 1457.42029) Full Text: DOI
Fernandes, Cláudio A.; Karlovich, Alexei Yu.; Karlovich, Yuri I. Banach algebras of Fourier multipliers equivalent at infinity to nice Fourier multipliers. (English) Zbl 1477.47035 Banach J. Math. Anal. 15, No. 2, Paper No. 29, 17 p. (2021). Reviewer: Adhemar Bultheel (Leuven) MSC: 47G10 42A45 46E30 PDFBibTeX XMLCite \textit{C. A. Fernandes} et al., Banach J. Math. Anal. 15, No. 2, Paper No. 29, 17 p. (2021; Zbl 1477.47035) Full Text: DOI
Volosivets, Sergey Approximation by Haar type polynomials in weighted rearrangement invariant spaces. (English) Zbl 1457.42040 J. Math. Anal. Appl. 494, No. 2, Article ID 124601, 17 p. (2021). MSC: 42C10 46E30 41A81 PDFBibTeX XMLCite \textit{S. Volosivets}, J. Math. Anal. Appl. 494, No. 2, Article ID 124601, 17 p. (2021; Zbl 1457.42040) Full Text: DOI
Curbera, Guillermo P.; Okada, Susumu; Ricker, Werner J. Fine spectra of the finite Hilbert transform in function spaces. (English) Zbl 1466.44003 Adv. Math. 380, Article ID 107597, 30 p. (2021). Reviewer: S. L. Kalla (Ballwin) MSC: 44A15 46E30 47A10 42B20 47G10 47B34 PDFBibTeX XMLCite \textit{G. P. Curbera} et al., Adv. Math. 380, Article ID 107597, 30 p. (2021; Zbl 1466.44003) Full Text: DOI arXiv
Guliyev, Vagif; Armutcu, Hatice; Azeroglu, Tahir Characterizations for the potential operators on Carleson curves in local generalized Morrey spaces. (English) Zbl 1484.42018 Open Math. 18, 1317-1331 (2020). MSC: 42B25 26A33 42B35 47B38 PDFBibTeX XMLCite \textit{V. Guliyev} et al., Open Math. 18, 1317--1331 (2020; Zbl 1484.42018) Full Text: DOI
Aykol, Canay; Badalov, Xayyam A.; Hasanov, Javanshir J. Maximal and singular operators in the local “complementary” generalized variable exponent Morrey spaces on unbounded sets. (English) Zbl 1458.42012 Quaest. Math. 43, No. 10, 1487-1512 (2020). MSC: 42B20 42B25 42B30 42B35 PDFBibTeX XMLCite \textit{C. Aykol} et al., Quaest. Math. 43, No. 10, 1487--1512 (2020; Zbl 1458.42012) Full Text: DOI
Ding, S.; Ren, Y. Criteria of a multi-weight weak type inequality in Orlicz classes for maximal functions defined on homogeneous type spaces. (English) Zbl 1474.42077 Acta Math. Hung. 162, No. 2, 677-689 (2020). Reviewer: Giuseppe Di Fazio (Catania) MSC: 42B25 46E30 PDFBibTeX XMLCite \textit{S. Ding} and \textit{Y. Ren}, Acta Math. Hung. 162, No. 2, 677--689 (2020; Zbl 1474.42077) Full Text: DOI
Fernandes, C. A.; Karlovich, A. Yu. Semi-almost periodic Fourier multipliers on rearrangement-invariant spaces with suitable Muckenhoupt weights. (English) Zbl 1451.42012 Bol. Soc. Mat. Mex., III. Ser. 26, No. 3, 1135-1162 (2020). MSC: 42A45 46E30 PDFBibTeX XMLCite \textit{C. A. Fernandes} and \textit{A. Yu. Karlovich}, Bol. Soc. Mat. Mex., III. Ser. 26, No. 3, 1135--1162 (2020; Zbl 1451.42012) Full Text: DOI
Jafarov, Sadulla Z. Approximation by matrix transforms in weighted Orlicz spaces. (English) Zbl 1451.30073 Turk. J. Math. 44, No. 1, 179-193 (2020). MSC: 30E10 41A10 42A10 PDFBibTeX XMLCite \textit{S. Z. Jafarov}, Turk. J. Math. 44, No. 1, 179--193 (2020; Zbl 1451.30073) Full Text: Link
Duong, Dao Van; Dung, Kieu Huu; Chuong, Nguyen Minh Weighted estimates for commutators of multilinear Hausdorff operators on variable exponent Morrey-Herz type spaces. (English) Zbl 1513.42092 Czech. Math. J. 70, No. 3, 833-865 (2020). MSC: 42B30 42B35 47B38 PDFBibTeX XMLCite \textit{D. Van Duong} et al., Czech. Math. J. 70, No. 3, 833--865 (2020; Zbl 1513.42092) Full Text: DOI arXiv
Leśnik, Karol; Maligranda, Lech; Mleczko, Pawel Regularization for Lozanovskii’s type factorization with applications. (English) Zbl 1457.46040 Ann. Acad. Sci. Fenn., Math. 45, No. 2, 811-823 (2020). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 46E30 46E15 42B30 46J15 47B35 PDFBibTeX XMLCite \textit{K. Leśnik} et al., Ann. Acad. Sci. Fenn., Math. 45, No. 2, 811--823 (2020; Zbl 1457.46040) Full Text: DOI
Karlovich, Yu. I. Localization of a class of Muckenhoupt weights by using Mellin pseudo-differential operators. (English) Zbl 1446.42018 Boggiatto, Paolo (ed.) et al., Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2–6, 2018. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 281-310 (2020). Reviewer: Vadim D. Kryakvin (Rostov-na-Donu) MSC: 42B20 47G30 45P05 PDFBibTeX XMLCite \textit{Yu. I. Karlovich}, in: Advances in microlocal and time-frequency analysis. Contributions of the conference on microlocal and time-frequency analysis 2018, MLTFA18, in honor of Prof. Luigi Rodino on the occasion of his 70th birthday, Torino, Italy, July 2--6, 2018. Cham: Birkhäuser. 281--310 (2020; Zbl 1446.42018) Full Text: DOI
Karlovich, Alexei Yu. Algebras of continuous Fourier multipliers on variable Lebesgue spaces. (English) Zbl 1442.42035 Mediterr. J. Math. 17, No. 4, Paper No. 102, 19 p. (2020). MSC: 42B15 42B35 46E30 PDFBibTeX XMLCite \textit{A. Yu. Karlovich}, Mediterr. J. Math. 17, No. 4, Paper No. 102, 19 p. (2020; Zbl 1442.42035) Full Text: DOI arXiv
Izuki, Mitsuo; Nogayama, Toru; Noi, Takahiro; Sawano, Yoshihiro Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent. (English) Zbl 1446.42035 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111930, 13 p. (2020). Reviewer: Nikhil Khanna (New Delhi) MSC: 42B35 42C40 PDFBibTeX XMLCite \textit{M. Izuki} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 198, Article ID 111930, 13 p. (2020; Zbl 1446.42035) Full Text: DOI arXiv
Armutcu, Hatice; Eroglu, Ahmet; Isayev, Fatai Characterizations for the fractional maximal operators on Carleson curves in local generalized Morrey spaces. (English) Zbl 1439.42025 Tbil. Math. J. 13, No. 1, 23-38 (2020). MSC: 42B25 42B35 42B20 PDFBibTeX XMLCite \textit{H. Armutcu} et al., Tbil. Math. J. 13, No. 1, 23--38 (2020; Zbl 1439.42025) Full Text: DOI Euclid
Wang, Fan; Yang, Dachun; Yang, Sibei Applications of Hardy spaces associated with ball quasi-Banach function spaces. (English) Zbl 1431.42040 Result. Math. 75, No. 1, Paper No. 26, 58 p. (2020). MSC: 42B30 42B35 42B25 42B20 47G30 PDFBibTeX XMLCite \textit{F. Wang} et al., Result. Math. 75, No. 1, Paper No. 26, 58 p. (2020; Zbl 1431.42040) Full Text: DOI arXiv
Izuki, Mitsuo; Noi, Takahiro Two weighted Herz spaces with variable exponents. (English) Zbl 1433.42022 Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 169-200 (2020). MSC: 42B35 42B20 42B25 42B30 PDFBibTeX XMLCite \textit{M. Izuki} and \textit{T. Noi}, Bull. Malays. Math. Sci. Soc. (2) 43, No. 1, 169--200 (2020; Zbl 1433.42022) Full Text: DOI
Meskhi, Alexander Essential norm estimates for multilinear singular and fractional integrals. (English) Zbl 1439.42023 Commentat. Math. 59, No. 1-2, 81-93 (2019). MSC: 42B20 42B35 46E30 46B70 PDFBibTeX XMLCite \textit{A. Meskhi}, Commentat. Math. 59, No. 1--2, 81--93 (2019; Zbl 1439.42023) Full Text: DOI
Fernandes, Cláudio A.; Karlovich, Alexei Yu.; Karlovich, Yuri I. Algebra of convolution type operators with continuous data on Banach function spaces. (English) Zbl 1477.47094 Kosek, Marta (ed.), Function spaces XII. Selected papers based on the presentations at the 12th conference, Krakow, Poland, July 9–14, 2018. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 119, 157-171 (2019). MSC: 47L80 47G10 46E30 42C40 42B25 PDFBibTeX XMLCite \textit{C. A. Fernandes} et al., Banach Cent. Publ. 119, 157--171 (2019; Zbl 1477.47094) Full Text: DOI arXiv
Fernandes, Cláudio A.; Karlovich, Alexei Y.; Karlovich, Yuri I. Noncompactness of Fourier convolution operators on Banach function spaces. (English) Zbl 1477.47034 Ann. Funct. Anal. 10, No. 4, 553-561 (2019). MSC: 47G10 46E30 42A85 PDFBibTeX XMLCite \textit{C. A. Fernandes} et al., Ann. Funct. Anal. 10, No. 4, 553--561 (2019; Zbl 1477.47034) Full Text: DOI arXiv Euclid
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B. Semi-Fredholmness of weighted singular integral operators with shifts and slowly oscillating data. (English) Zbl 1476.47013 André, Carlos (ed.) et al., Operator theory, operator algebras, and matrix theory. Based on the presentations at the international workshop on operator theory and operator algebras, WOAT 2016, Lisbon, Portugal, July 5–8, 2016. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 267, 221-246 (2018). MSC: 47A53 47G10 47G30 45P05 42B20 PDFBibTeX XMLCite \textit{A. Yu. Karlovich} et al., Oper. Theory: Adv. Appl. 267, 221--246 (2018; Zbl 1476.47013) Full Text: DOI arXiv
Yang, Yanqi; Tao, Shuangping \(\theta\)-type Calderón-Zygmund operators and commutators in variable exponents Herz space. (English) Zbl 1431.42032 Open Math. 16, 1607-1620 (2018). Reviewer: Sibei Yang (Lanzhou) MSC: 42B20 42B25 42B35 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{S. Tao}, Open Math. 16, 1607--1620 (2018; Zbl 1431.42032) Full Text: DOI
Dalmasso, Estefanía; Pradolini, Gladis; Ramos, Wilfredo The effect of the smoothness of fractional type operators over their commutators with Lipschitz symbols on weighted spaces. (English) Zbl 1405.42030 Fract. Calc. Appl. Anal. 21, No. 3, 628-653 (2018). MSC: 42B25 42B35 26A33 PDFBibTeX XMLCite \textit{E. Dalmasso} et al., Fract. Calc. Appl. Anal. 21, No. 3, 628--653 (2018; Zbl 1405.42030) Full Text: DOI arXiv
Jafarov, Sadulla Z. Approximation of functions belonging to the weighted \(L(\alpha,M,\omega)\)-class by trigonometric polynomials. (English) Zbl 1394.41005 N. Z. J. Math. 48, 11-23 (2018). MSC: 41A17 41A25 41A27 42A10 42A50 46E30 46E35 26A33 PDFBibTeX XMLCite \textit{S. Z. Jafarov}, N. Z. J. Math. 48, 11--23 (2018; Zbl 1394.41005) Full Text: Link
Yang, Yanqi; Tao, Shuangping Singular integrals with variable kernel and fractional differentiation in homogeneous Morrey-Herz-type Hardy spaces with variable exponents. (English) Zbl 1393.42017 Open Math. 16, 326-345 (2018). MSC: 42B20 42B25 42B35 PDFBibTeX XMLCite \textit{Y. Yang} and \textit{S. Tao}, Open Math. 16, 326--345 (2018; Zbl 1393.42017) Full Text: DOI
Dadashova, I. B.; Aykol, C.; Cakir, Z.; Serbetci, A. Potential operators in modified Morrey spaces defined on Carleson curves. (English) Zbl 1437.46046 Trans. A. Razmadze Math. Inst. 172, No. 1, 15-29 (2018). MSC: 46E40 42B35 PDFBibTeX XMLCite \textit{I. B. Dadashova} et al., Trans. A. Razmadze Math. Inst. 172, No. 1, 15--29 (2018; Zbl 1437.46046) Full Text: DOI
Guliyev, Vagif S.; Hasanov, Javanshir J.; Badalov, Xayyam A. Maximal and singular integral operators and their commutators on generalized weighted Morrey spaces with variable exponent. (English) Zbl 1384.42013 Math. Inequal. Appl. 21, No. 1, 41-61 (2018). MSC: 42B20 42B25 42B35 PDFBibTeX XMLCite \textit{V. S. Guliyev} et al., Math. Inequal. Appl. 21, No. 1, 41--61 (2018; Zbl 1384.42013) Full Text: DOI
Karlovich, Alexei Yu. Density of analytic polynomials in abstract Hardy spaces. (English) Zbl 1416.46031 Commentat. Math. 57, No. 2, 131-141 (2017). MSC: 46E30 42A10 PDFBibTeX XMLCite \textit{A. Yu. Karlovich}, Commentat. Math. 57, No. 2, 131--141 (2017; Zbl 1416.46031) Full Text: DOI arXiv
Wang, Wei; Xu, Jingshi Precompact sets, boundedness, and compactness of commutators for singular integrals in variable Morrey spaces. (English) Zbl 1376.42032 J. Funct. Spaces 2017, Article ID 3764142, 9 p. (2017). MSC: 42B35 42B20 PDFBibTeX XMLCite \textit{W. Wang} and \textit{J. Xu}, J. Funct. Spaces 2017, Article ID 3764142, 9 p. (2017; Zbl 1376.42032) Full Text: DOI
Pradolini, G. G.; Ramos, W. A. Characterization of Lipschitz functions via the commutators of singular and fractional integral operators in variable Lebesgue spaces. (English) Zbl 1371.42022 Potential Anal. 46, No. 3, 499-525 (2017). Reviewer: Sunggeum Hong (Gwangju) MSC: 42B25 42B35 PDFBibTeX XMLCite \textit{G. G. Pradolini} and \textit{W. A. Ramos}, Potential Anal. 46, No. 3, 499--525 (2017; Zbl 1371.42022) Full Text: DOI
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B. The index of weighted singular integral operators with shifts and slowly oscillating data. (English) Zbl 1450.47008 J. Math. Anal. Appl. 450, No. 1, 606-630 (2017). Reviewer: Pierre Portal (Canberra) MSC: 47A53 42B20 47G30 PDFBibTeX XMLCite \textit{A. Yu. Karlovich} et al., J. Math. Anal. Appl. 450, No. 1, 606--630 (2017; Zbl 1450.47008) Full Text: DOI
Wang, Lijuan; Tao, Shuangping Parameterized Littlewood-Paley operators and their commutators on Herz spaces with variable exponents. (English) Zbl 1424.42032 Turk. J. Math. 40, No. 1, 122-145 (2016). MSC: 42B20 42B25 42B35 PDFBibTeX XMLCite \textit{L. Wang} and \textit{S. Tao}, Turk. J. Math. 40, No. 1, 122--145 (2016; Zbl 1424.42032) Full Text: DOI
Jafarov, Sadulla Z. Approximation of periodic functions by Zygmund means in Orlicz spaces. (English) Zbl 1424.41051 J. Class. Anal. 9, No. 1, 43-52 (2016). MSC: 41A50 42A10 41A10 41A25 42B25 46E30 PDFBibTeX XMLCite \textit{S. Z. Jafarov}, J. Class. Anal. 9, No. 1, 43--52 (2016; Zbl 1424.41051) Full Text: DOI
Karlovich, Alexei Yu.; Karlovich, Yuri I.; Lebre, Amarino B. The generalized Cauchy index of some semi-almost periodic functions. (English) Zbl 1351.42009 Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 473-485 (2016). MSC: 42A75 47G10 45P05 47B35 PDFBibTeX XMLCite \textit{A. Yu. Karlovich} et al., Bol. Soc. Mat. Mex., III. Ser. 22, No. 2, 473--485 (2016; Zbl 1351.42009) Full Text: DOI
Volosivets, S. S. Approximation of polynomials in the Haar system in weighted symmetric spaces. (English. Russian original) Zbl 1364.42033 Math. Notes 99, No. 5, 643-651 (2016); translation from Mat. Zametki 99, No. 5, 649-657 (2016). Reviewer: Alexei Yu. Karlovich (Lisboa) MSC: 42C10 PDFBibTeX XMLCite \textit{S. S. Volosivets}, Math. Notes 99, No. 5, 643--651 (2016; Zbl 1364.42033); translation from Mat. Zametki 99, No. 5, 649--657 (2016) Full Text: DOI
Anatriello, Giuseppina; Formica, Maria Rosaria Weighted fully measurable grand Lebesgue spaces and the maximal theorem. (English) Zbl 1356.46021 Ric. Mat. 65, No. 1, 221-233 (2016). Reviewer: A. Turan Gürkanlı (Istanbul) MSC: 46E30 42B25 PDFBibTeX XMLCite \textit{G. Anatriello} and \textit{M. R. Formica}, Ric. Mat. 65, No. 1, 221--233 (2016; Zbl 1356.46021) Full Text: DOI
Izuki, Mitsuo; Noi, Takahiro Boundedness of fractional integrals on weighted Herz spaces with variable exponent. (English) Zbl 1346.42014 J. Inequal. Appl. 2016, Paper No. 199, 15 p. (2016). MSC: 42B20 42B35 46E30 PDFBibTeX XMLCite \textit{M. Izuki} and \textit{T. Noi}, J. Inequal. Appl. 2016, Paper No. 199, 15 p. (2016; Zbl 1346.42014) Full Text: DOI
Hasanov, J. J.; Aliyev, S. S.; Guliyev, Y. Y. Commutators of potential and singular integral operators in generalized variable exponent Morrey spaces. (English) Zbl 1513.42043 Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 4, Math., 75-83 (2015). MSC: 42B20 42B25 42B35 PDFBibTeX XMLCite \textit{J. J. Hasanov} et al., Trans. Natl. Acad. Sci. Azerb., Ser. Phys.-Tech. Math. Sci. 35, No. 4, Math., 75--83 (2015; Zbl 1513.42043) Full Text: DOI
Rojas, E. M. Boundary value problems and singular integral equations on Banach function spaces. (English) Zbl 1342.30032 Diss. Math. 512, 42 p. (2015). MSC: 30E20 30E25 46E30 42B20 PDFBibTeX XMLCite \textit{E. M. Rojas}, Diss. Math. 512, 42 p. (2015; Zbl 1342.30032) Full Text: DOI
Izuki, Mitsuo; Nakai, Eiichi; Sawano, Yoshihiro Wavelet characterization and modular inequalities for weighted Lebesgue spaces with variable exponent. (English) Zbl 1339.46027 Ann. Acad. Sci. Fenn., Math. 40, No. 2, 551-571 (2015). Reviewer: Geetika Verma Khattar (Delhi) MSC: 46E30 42B35 42C40 42B25 42B20 PDFBibTeX XMLCite \textit{M. Izuki} et al., Ann. Acad. Sci. Fenn., Math. 40, No. 2, 551--571 (2015; Zbl 1339.46027) Full Text: DOI
Karlovich, Alexei Banach algebra of the Fourier multipliers on weighted Banach function spaces. (English) Zbl 1332.46040 Concr. Oper. 2, 27-36 (2015). MSC: 46E30 42B15 42B20 PDFBibTeX XMLCite \textit{A. Karlovich}, Concr. Oper. 2, 27--36 (2015; Zbl 1332.46040) Full Text: DOI
Jafarov, Sadulla Z. Approximation by trigonometric polynomials in rearrangement invariant quasi Banach function spaces. (English) Zbl 1311.41008 Mediterr. J. Math. 12, No. 1, 37-50 (2015). MSC: 41A20 42A10 41A25 41A28 PDFBibTeX XMLCite \textit{S. Z. Jafarov}, Mediterr. J. Math. 12, No. 1, 37--50 (2015; Zbl 1311.41008) Full Text: DOI
Feng, Qiufen Boundedness of Toeplitz type operator associated to singular integral operator satisfying a variant of Hörmander’s condition on \(L^p\) spaces with variable exponent. (English) Zbl 1375.42013 J. Inequal. Appl. 2014, Paper No. 369, 8 p. (2014). MSC: 42B20 42B25 PDFBibTeX XMLCite \textit{Q. Feng}, J. Inequal. Appl. 2014, Paper No. 369, 8 p. (2014; Zbl 1375.42013) Full Text: DOI
Wang, Lijuan; Tao, Shuangping Boundedness of Littlewood-Paley operators and their commutators on Herz-Morrey spaces with variable exponent. (English) Zbl 1375.42023 J. Inequal. Appl. 2014, Paper No. 227, 17 p. (2014). MSC: 42B20 42B25 42B35 PDFBibTeX XMLCite \textit{L. Wang} and \textit{S. Tao}, J. Inequal. Appl. 2014, Paper No. 227, 17 p. (2014; Zbl 1375.42023) Full Text: DOI
Karlovich, Alexei Yu. Boundedness of pseudodifferential operators on Banach function spaces. (English) Zbl 1316.47042 Bastos, M. Amélia (ed.) et al., Operator theory, operator algebras and applications. Selected papers based on the presentations at the workshop WOAT 2012, Lisbon, Portugal, September 11–14, 2012. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0815-6/hbk; 978-3-0348-0816-3/ebook). Operator Theory: Advances and Applications 242, 185-195 (2014). MSC: 47G30 35S05 42B25 46E30 PDFBibTeX XMLCite \textit{A. Yu. Karlovich}, Oper. Theory: Adv. Appl. 242, 185--195 (2014; Zbl 1316.47042) Full Text: DOI arXiv
Karlovich, Alexei Yu.; Spitkovsky, Ilya M. The Cauchy singular integral operator on weighted variable Lebesgue spaces. (English) Zbl 1317.42007 Cepedello Boiso, Manuel (ed.) et al., Concrete operators, spectral theory, operators in harmonic analysis and approximation. 22nd international workshop in operator theory and its applications, IWOTA 11, Sevilla, Spain, July 3–9, 2011. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0647-3/hbk; 978-3-0348-0648-0/ebook). Operator Theory: Advances and Applications 236, 275-291 (2014). MSC: 42A50 42B20 42B35 42B25 46E30 PDFBibTeX XMLCite \textit{A. Yu. Karlovich} and \textit{I. M. Spitkovsky}, Oper. Theory: Adv. Appl. 236, 275--291 (2014; Zbl 1317.42007) Full Text: DOI arXiv
Roch, Steffen; Santos, Pedro A. Finite section approximations in an algebra of convolution, multiplication and flip operators on \(L^p(\mathbb{R})\). (English) Zbl 1381.42035 J. Approx. Theory 186, 64-97 (2014). MSC: 42B30 47B35 PDFBibTeX XMLCite \textit{S. Roch} and \textit{P. A. Santos}, J. Approx. Theory 186, 64--97 (2014; Zbl 1381.42035) Full Text: DOI
Bingham, N. H. Szegő’s theorem and its probabilistic descendants. (English) Zbl 1285.60037 Probab. Surv. 9, 287-324 (2012). Reviewer: Ryszard Doman (Poznań) MSC: 60G10 60G25 42C05 PDFBibTeX XMLCite \textit{N. H. Bingham}, Probab. Surv. 9, 287--324 (2012; Zbl 1285.60037) Full Text: DOI arXiv Euclid
Cruz-Uribe, David; Diening, Lars; Hästö, Peter The maximal operator on weighted variable Lebesgue spaces. (English) Zbl 1273.42018 Fract. Calc. Appl. Anal. 14, No. 3, 361-374 (2011). MSC: 42B25 42B35 PDFBibTeX XMLCite \textit{D. Cruz-Uribe} et al., Fract. Calc. Appl. Anal. 14, No. 3, 361--374 (2011; Zbl 1273.42018) Full Text: DOI
Guven, Ali Trigonometric approximation in reflexive Orlicz spaces. (English) Zbl 1250.42004 Anal. Theory Appl. 27, No. 2, 125-137 (2011). MSC: 42A10 41A65 46E30 PDFBibTeX XMLCite \textit{A. Guven}, Anal. Theory Appl. 27, No. 2, 125--137 (2011; Zbl 1250.42004) Full Text: DOI
Kokilashvili, V.; Paatashvili, V. Weighted Hardy and Smirnov classes and the Dirichlet problem for a ring within the framework of variable exponent analysis. (English) Zbl 1256.30022 Complex Var. Elliptic Equ. 56, No. 10-11, 955-973 (2011). Reviewer: Heinrich Begehr (Berlin) MSC: 30E20 30E25 30H10 47B38 42B20 PDFBibTeX XMLCite \textit{V. Kokilashvili} and \textit{V. Paatashvili}, Complex Var. Elliptic Equ. 56, No. 10--11, 955--973 (2011; Zbl 1256.30022) Full Text: DOI
Karlovich, Alexei Yu.; Spitkovsky, Ilya M. On singular integral operators with semi-almost periodic coefficients on variable Lebesgue spaces. (English) Zbl 1244.47041 J. Math. Anal. Appl. 384, No. 2, 706-725 (2011). Reviewer: Niels Jacob (Swansea) MSC: 47G10 42B20 45E05 43A60 42A75 PDFBibTeX XMLCite \textit{A. Yu. Karlovich} and \textit{I. M. Spitkovsky}, J. Math. Anal. Appl. 384, No. 2, 706--725 (2011; Zbl 1244.47041) Full Text: DOI arXiv
Izuki, Mitsuo Boundedness of commutators on Herz spaces with variable exponent. (English) Zbl 1202.42029 Rend. Circ. Mat. Palermo (2) 59, No. 2, 199-213 (2010). MSC: 42B20 42B35 PDFBibTeX XMLCite \textit{M. Izuki}, Rend. Circ. Mat. Palermo (2) 59, No. 2, 199--213 (2010; Zbl 1202.42029) Full Text: DOI
Mamedkhanov, J. I.; Dadashova, I. B. Some properties of the potential operators in Morrey spaces defined on Carleson curves. (English) Zbl 1209.31003 Complex Var. Elliptic Equ. 55, No. 8-10, 937-945 (2010). Reviewer: Yang Dachun (Beijing) MSC: 31A10 26A33 42B35 47B38 PDFBibTeX XMLCite \textit{J. I. Mamedkhanov} and \textit{I. B. Dadashova}, Complex Var. Elliptic Equ. 55, No. 8--10, 937--945 (2010; Zbl 1209.31003) Full Text: DOI
Karlovich, Alexei Yu. Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves. (English) Zbl 1185.42018 Math. Nachr. 283, No. 1, 85-93 (2010). Reviewer: Yang Dachun (Beijing) MSC: 42B25 47B35 46E30 PDFBibTeX XMLCite \textit{A. Yu. Karlovich}, Math. Nachr. 283, No. 1, 85--93 (2010; Zbl 1185.42018) Full Text: DOI arXiv
Kokilashvili, V. M.; Samko, S. G. Operators of harmonic analysis in weighted spaces with non-standard growth. (English) Zbl 1168.42010 J. Math. Anal. Appl. 352, No. 1, 15-34 (2009). Reviewer: Constantin Corduneanu (Arlington) MSC: 42B35 42B25 PDFBibTeX XMLCite \textit{V. M. Kokilashvili} and \textit{S. G. Samko}, J. Math. Anal. Appl. 352, No. 1, 15--34 (2009; Zbl 1168.42010) Full Text: DOI arXiv Link
Kokilashvili, V. M.; Samko, S. G. Singular operators and Fourier multipliers in weighted Lebesgue spaces with variable index. (English. Russian original) Zbl 1149.42003 Vestn. St. Petersbg. Univ., Math. 41, No. 2, 134-144 (2008); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2008, No. 2, 56-68 (2008). MSC: 42A50 42B15 PDFBibTeX XMLCite \textit{V. M. Kokilashvili} and \textit{S. G. Samko}, Vestn. St. Petersbg. Univ., Math. 41, No. 2, 134--144 (2008; Zbl 1149.42003); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 2008, No. 2, 56--68 (2008) Full Text: DOI
Xu, Jing-shi The boundedness of multilinear commutators of singular integrals on Lebesgue spaces with variable exponent. (English) Zbl 1174.42312 Czech. Math. J. 57, No. 1, 13-27 (2007). MSC: 42B20 46E30 PDFBibTeX XMLCite \textit{J.-s. Xu}, Czech. Math. J. 57, No. 1, 13--27 (2007; Zbl 1174.42312) Full Text: DOI EuDML Link
Hästö, Peter A. The maximal operator in Lebesgue spaces with variable exponent near 1. (English) Zbl 1125.46021 Math. Nachr. 280, No. 1-2, 74-82 (2007). Reviewer: Stefan G. Samko (Faro) MSC: 46E30 42B25 PDFBibTeX XMLCite \textit{P. A. Hästö}, Math. Nachr. 280, No. 1--2, 74--82 (2007; Zbl 1125.46021) Full Text: DOI
Edmunds, David E.; Fiorenza, Alberto; Meskhi, Alexander On a measure of non-compactness for some classical operators. (English) Zbl 1282.42012 Acta Math. Sin., Engl. Ser. 22, No. 6, 1847-1862 (2006). MSC: 42B20 42B25 47B06 47B07 46E30 PDFBibTeX XMLCite \textit{D. E. Edmunds} et al., Acta Math. Sin., Engl. Ser. 22, No. 6, 1847--1862 (2006; Zbl 1282.42012) Full Text: DOI
Karlovich, Alexei Yu. On the essential norm of the Cauchy singular integral operator in weighted rearrangement-invariant spaces. (English) Zbl 0998.47031 Integral Equations Oper. Theory 38, No. 1, 28-50 (2000). Reviewer: L.Hącia (Poznań) MSC: 47G10 47A53 42A50 45E05 46E30 47A30 PDFBibTeX XMLCite \textit{A. Yu. Karlovich}, Integral Equations Oper. Theory 38, No. 1, 28--50 (2000; Zbl 0998.47031) Full Text: DOI
Karlovich, A. Yu. The index of singular integral operators in reflexive Orlicz spaces. (English. Russian original) Zbl 0933.47033 Math. Notes 64, No. 3, 330-341 (1998); translation from Mat. Zametki 64, No. 3, 383-396 (1998). Reviewer: Maria Roginskaya (St.Peterburg) MSC: 47G10 46E30 42B20 45P05 47A53 PDFBibTeX XMLCite \textit{A. Yu. Karlovich}, Math. Notes 64, No. 3, 330--341 (1998; Zbl 0933.47033); translation from Mat. Zametki 64, No. 3, 383--396 (1998) Full Text: DOI
Karlovich, Alexei Yu. Singular integral operators with piecewise continuous coefficients in reflexive rearrangement-invariant spaces. (English) Zbl 0923.47016 Integral Equations Oper. Theory 32, No. 4, 436-481 (1998). MSC: 47B38 46E30 42A50 45E05 47A68 47G10 PDFBibTeX XMLCite \textit{A. Yu. Karlovich}, Integral Equations Oper. Theory 32, No. 4, 436--481 (1998; Zbl 0923.47016) Full Text: DOI
Karlovich, Aleksey Yu. Algebras of singular integral operators with piecewise continuous coefficients on reflexive Orlicz spaces. (English) Zbl 0873.47020 Math. Nachr. 179, 187-222 (1996). MSC: 47B38 46E30 47B35 42A50 45E05 47A68 PDFBibTeX XMLCite \textit{A. Yu. Karlovich}, Math. Nachr. 179, 187--222 (1996; Zbl 0873.47020) Full Text: DOI