Edit Profile (opens in new tab) Rafeiro, Humberto Co-Author Distance Author ID: rafeiro.humberto Published as: Rafeiro, Humberto; Rafeiro, H. Homepage: http://hrafeiro.github.io/ External Links: MGP · ORCID · Wikidata · ResearchGate · Math-Net.Ru · GND · IdRef Documents Indexed: 93 Publications since 2005, including 4 Books and 1 Additional arXiv Preprint Reviewing Activity: 39 Reviews Co-Authors: 31 Co-Authors with 91 Joint Publications 674 Co-Co-Authors all top 5 Co-Authors 2 single-authored 33 Samko, Stefan Grigor’evich 16 Castillo, René Erlín 16 Meskhi, Alexander 9 Kokilashvili, Vakhtang 8 Zaighum, Muhammad Asad 6 Almeida, Alexandre 6 Guzmán, Oscar Mauricio 5 Chacón, Gerardo R. 5 Trousselot, Eduard 5 Umarkhadzhiev, Salaudin Musaevich 3 Górka, Przemysław 3 Nafis, Hammad 2 Chacón-Cortes, Leonardo Fabio 2 Cruz-Uribe, David Vincente 2 Karapetyants, Alekseĭ Nikolaevich 2 Persson, Lars-Erik 2 Ramos-Fernández, Julio C. 2 Rojas, Edixon Manuel 2 Tsanava, Tsira 2 Vallejo, Juan Camilo 2 Vargas, Andrés F. 1 Colucci, Renato 1 Hästö, Peter A. 1 Juusti, Jonne 1 Kusraeva, Zalina Anatol’evna 1 Mukhamedov, Farruh Maksutovich 1 Restrepo, Joel Esteban 1 Salas Brown, Margot 1 Samko, Natasha 1 Wall, Peter 1 Yakhshiboev, Makhmadiyor U. all top 5 Serials 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Fractional Calculus & Applied Analysis 4 Georgian Mathematical Journal 3 Revista Colombiana de Matemáticas 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Journal of Mathematical Sciences (New York) 3 The Journal of Fourier Analysis and Applications 3 Mediterranean Journal of Mathematics 3 Complex Variables and Elliptic Equations 3 Complex Analysis and Operator Theory 3 Journal of Function Spaces 3 Transactions of A. Razmadze Mathematical Institute 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Mathematical Notes 2 Studia Mathematica 2 Journal of Functional Analysis 2 Mathematische Nachrichten 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Azerbaijan Journal of Mathematics 2 Operator Theory: Advances and Applications 1 Analysis Mathematica 1 Hiroshima Mathematical Journal 1 Integral Equations and Operator Theory 1 Studia Scientiarum Mathematicarum Hungarica 1 Zeitschrift für Analysis und ihre Anwendungen 1 Note di Matematica 1 International Journal of Mathematics 1 Potential Analysis 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Doklady Mathematics 1 Positivity 1 Journal of Inequalities and Applications 1 Proceedings of A. Razmadze Mathematical Institute 1 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Hacettepe Journal of Mathematics and Statistics 1 Miskolc Mathematical Notes 1 The Australian Journal of Mathematical Analysis and Applications 1 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 1 Journal of Mathematical Inequalities 1 Banach Journal of Mathematical Analysis 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Annals of Functional Analysis 1 Revista Integración 1 Advances in Operator Theory 1 De Gruyter Textbook 1 Electronic Research Archive all top 5 Fields 63 Functional analysis (46-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 30 Real functions (26-XX) 30 Operator theory (47-XX) 4 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 3 Integral equations (45-XX) 2 History and biography (01-XX) 2 Abstract harmonic analysis (43-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 80 Publications have been cited 1,121 times in 581 Documents Cited by ▼ Year ▼ Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces. Zbl 1367.47004 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan 171 2016 Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces. Zbl 1385.47001 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan 165 2016 Morrey-Campanato spaces: an overview. Zbl 1273.46019 Rafeiro, Humberto; Samko, Natasha; Samko, Stefan 91 2013 An introductory course in Lebesgue spaces. Zbl 1352.46003 Castillo, René Erlín; Rafeiro, Humberto 88 2016 A note on boundedness of operators in grand grand Morrey spaces. Zbl 1280.46019 Rafeiro, Humberto 33 2013 Variable exponent Campanato spaces. Zbl 1230.46027 Rafeiro, H.; Samko, S. 25 2011 Riesz potential operator in continual variable exponents Herz spaces. Zbl 1325.46034 Rafeiro, Humberto; Samko, Stefan 21 2015 Fractional integrals and derivatives: mapping properties. Zbl 1351.26016 Rafeiro, Humberto; Samko, Stefan 21 2016 Herz spaces meet Morrey type spaces and complementary Morrey type spaces. Zbl 1464.46035 Rafeiro, Humberto; Samko, Stefan 20 2020 A note on the boundedness of sublinear operators on grand variable Herz spaces. Zbl 1503.42012 Nafis, Hammad; Rafeiro, Humberto; Zaighum, Muhammad Asad 19 2020 Variable exponent Bergman spaces. Zbl 1288.30059 Chacón, Gerardo R.; Rafeiro, Humberto 19 2014 Kolmogorov compactness criterion in variable exponent Lebesgue spaces. Zbl 1190.46030 Rafeiro, H. 18 2009 Grand Lebesgue sequence spaces. Zbl 1401.46025 Rafeiro, Humberto; Samko, Stefan; Umarkhadzhiev, Salaudin 16 2018 Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces. Zbl 1290.35285 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 16 2014 Grand Bochner-Lebesgue space and its associate space. Zbl 1308.46052 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 16 2014 From Arzelà-Ascoli to Riesz-Kolmogorov. Zbl 1362.46021 Górka, Przemysław; Rafeiro, Humberto 15 2016 Riesz type potential operators in generalized grand Morrey spaces. Zbl 1280.46017 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 15 2013 Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications. Zbl 1292.42009 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 13 2013 Toeplitz operators on variable exponent Bergman spaces. Zbl 1354.30049 Chacón, Gerardo R.; Rafeiro, Humberto 12 2016 Interpolation on variable Morrey spaces defined on quasi-metric measure spaces. Zbl 1351.46018 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 12 2016 Central Calderón-Zygmund operators on Herz-type Hardy spaces of variable smoothness and integrability. Zbl 1400.42014 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 11 2018 Hardy type inequality in variable Lebesgue spaces. Zbl 1177.47045 Rafeiro, Humberto; Samko, Stefan 11 2009 Carleson measures for variable exponent Bergman spaces. Zbl 1387.30081 Chacón, Gerardo R.; Rafeiro, Humberto; Vallejo, Juan Camilo 10 2017 On the compactness in grand spaces. Zbl 1335.46023 Rafeiro, Humberto; Vargas, Andrés 10 2015 BMO-VMO results for fractional integrals in variable exponent Morrey spaces. Zbl 1459.46038 Rafeiro, Humberto; Samko, Stefan 10 2019 Multiplication operator on Köthe spaces: measure of non-compactness and closed range. Zbl 07093443 Castillo, René Erlin; Rafeiro, Humberto; Ramos-Fernández, Julio C.; Salas-Brown, Margot 10 2019 Coincidence of variable exponent Herz spaces with variable exponent Morrey type spaces and boundedness of sublinear operators in these spaces. Zbl 1494.46028 Rafeiro, Humberto; Samko, Stefan 10 2022 Multiplication operators in variable Lebesgue spaces. Zbl 06715732 Castillo, René Erlin; Ramos Fernández, Julio C.; Rafeiro, Humberto 10 2015 On embeddings of Morrey type spaces between weighted Lebesgue or Stummel spaces with application to Herz spaces. Zbl 1483.46026 Rafeiro, Humberto; Samko, Stefan 10 2021 Maximal operator with rough kernel in variable Musielak-Morrey-Orlicz type spaces, variable Herz spaces and grand variable Lebesgue spaces. Zbl 1387.42020 Rafeiro, Humberto; Samko, Stefan 8 2017 Commutators of sublinear operators in grand Morrey spaces. Zbl 1463.47105 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 8 2019 Unique continuation of the quasilinear elliptic equation on Lebesgue spaces \(L_p\). Zbl 1473.35258 Castillo, R. E.; Rafeiro, H.; Rojas, E. M. 8 2021 Grand Lebesgue space for \(p=\infty\) and its application to Sobolev-Adams embedding theorems in borderline cases. Zbl 1535.46036 Rafeiro, Humberto; Samko, Stefan; Umarkhadzhiev, Salaudin 8 2022 Light side of compactness in Lebesgue spaces: Sudakov theorem. Zbl 1370.46012 Górka, Przemysław; Rafeiro, Humberto 8 2017 On multidimensional analogue of Marchaud formula for fractional Riesz-type derivatives in domains in \(\mathbb R^n\). Zbl 1141.42014 Rafeiro, Humberto; Samko, Stefan 7 2005 Variable exponent bounded variation spaces in the Riesz sense. Zbl 1334.26015 Castillo, René E.; Guzmán, Oscar Mauricio; Rafeiro, Humberto 7 2016 Variable exponent Lebesgue spaces and Hardy-Littlewood maximal function on \(p\)-adic numbers. Zbl 1451.42025 Chacón-Cortés, Leonardo Fabio; Rafeiro, Humberto 7 2020 A note on vanishing Morrey \(\rightarrow\) VMO result for fractional integrals of variable order. Zbl 1453.46023 Rafeiro, Humberto; Samko, Stefan 7 2020 On maximal and potential operators with rough kernels in variable exponent spaces. Zbl 1344.42016 Rafeiro, Humberto; Samko, Stefan 6 2016 Characterization of the range of one-dimensional fractional integration in the space with variable exponent. Zbl 1160.46022 Rafeiro, Humberto; Samko, Stefan 6 2008 Inequalities with conjugate exponents in grand Lebesgue space. Zbl 1343.46025 Erlín Castillo, René; Rafeiro, Humberto 6 2015 Boundedness of sublinear operators in weighted grand Morrey spaces. Zbl 1432.42011 Kokilashvili, V.; Meskhi, A.; Rafeiro, H. 6 2017 Weighted Riesz bounded variation spaces and the Nemytskii operator. Zbl 1455.26005 Cruz-Uribe, D.; Guzman, O. M.; Rafeiro, H. 6 2020 On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space. Zbl 1544.47081 Rafeiro, Humberto; Samko, Stefan 6 2020 Sublinear operators in generalized weighted Morrey spaces. Zbl 06688877 Kokilashvili, V.; Meskhi, A.; Rafeiro, H. 6 2016 Boundedness of multilinear Calderón-Zygmund operators on grand variable Herz spaces. Zbl 1508.42015 Nafis, Hammad; Rafeiro, Humberto; Zaighum, Muhammad Asad 6 2022 Boundedness of the Marcinkiewicz integral on grand variable Herz spaces. Zbl 07371154 Nafis, Hammad; Rafeiro, Humberto; Zaighum, Muhammad Asad 6 2021 Boundedness of the Bergman projection and some properties of Bergman type spaces. Zbl 1421.30070 Karapetyants, Alexey; Rafeiro, Humberto; Samko, Stefan 5 2019 On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces. Zbl 1427.42020 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 5 2019 Bounded variation spaces with \(p\)-variable. Zbl 1307.26008 Castillo, René Erlín; Merentes, Nelson; Rafeiro, Humberto 5 2014 Dominated compactness theorem in Banach function spaces and its applications. Zbl 1186.47017 Rafeiro, Humberto; Samko, Stefan 4 2008 Local grand Lebesgue spaces on quasi-metric measure spaces and some applications. Zbl 1494.42029 Rafeiro, Humberto; Samko, Stefan; Umarkhadzhiev, Salaudin 4 2022 Maximal operator in variable Stummel spaces. Zbl 1501.46026 Almeida, Alexandre; Rafeiro, Humberto 4 2022 Approximative method for the inversion of the Riesz potential operator in variable Lebesgue spaces. Zbl 1165.46012 Rafeiro, Humberto; Samko, Stefan 4 2008 On minimization of a non-convex functional in variable exponent spaces. Zbl 1287.49004 Chacón, Gerardo R.; Colucci, Renato; Rafeiro, Humberto; Vargas, Andrés 4 2014 On a class of sublinear operators in variable exponent Morrey-type spaces. Zbl 1494.46027 Rafeiro, H.; Samko, S. 4 2022 A generalization for the Riesz \(p\)-variation. Zbl 1351.26020 Castillo, René Erlín; Rafeiro, Humberto; Trousselot, Eduard 3 2014 The Chen-Marchaud fractional integro-differentiation in the variable exponent Lebesgue spaces. Zbl 1273.46020 Rafeiro, Humberto; Yakhshiboev, Makhmadiyor 3 2011 Historical synopsis of the Taylor remainder. Zbl 1387.26001 Persson, Lars-Erik; Rafeiro, Humberto; Wall, Peter 3 2017 Linear functionals on variable exponent Bochner-Lebesgue spaces. Zbl 1455.46029 Castillo, René Erlín; Guzmán, Oscar M.; Rafeiro, Humberto 3 2019 Fractional operators in \(p\)-adic variable exponent Lebesgue spaces and application to \(p\)-adic derivative. Zbl 1492.47106 Chacón-Cortés, Leonardo Fabio; Rafeiro, Humberto 3 2021 Fractional operators from vanishing Morrey to vanishing Campanato spaces in the variable exponent setting on quasi-metric measure spaces. Zbl 1512.46027 Rafeiro, Humberto; Samko, Stefan 3 2022 Space of functions with some generalization of bounded variation in the sense of de La Vallée Poussin. Zbl 1343.46033 Castillo, René Erlín; Rafeiro, Humberto; Trousselot, Eduard 3 2015 Embeddings on spaces of generalized bounded variation. Zbl 1351.26019 Castillo, René Erlín; Rafeiro, Humberto; Trousselot, Eduard 2 2014 Characterization of the variable exponent Bessel potential spaces via the Poisson semigroup. Zbl 1194.46044 Rafeiro, Humberto; Samko, Stefan 2 2010 On a class of fractional type integral equations in variable exponent spaces. Zbl 1152.45003 Rafeiro, Humberto; Samko, Stefan 2 2007 Nemytskii operator on generalized bounded variation space. Zbl 1298.26032 Castillo, René Erlín; Rafeiro, Humberto; Trousselot, Eduard 2 2014 On singular operators in vanishing generalized variable-exponent Morrey spaces and applications to Bergman-type spaces. Zbl 1434.42019 Karapetyants, A. N.; Rafeiro, H.; Samko, S. G. 2 2019 A note on Muckenhoupt weights with nonstandard growth. Zbl 1522.42034 Almeida, Alexandre; Rafeiro, Humberto 2 2023 Nemytskii operator in Riesz-bounded variation spaces with variable exponent. Zbl 1476.47039 Castillo, René Erlín; Guzmán, Oscar Mauricio; Rafeiro, Humberto 2 2017 Complex interpolation on variable exponent Campanato spaces of order \(k\). Zbl 1373.46013 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 2 2017 Corrigendum to: “From Arzelà-Ascoli to Riesz-Kolmogorov”. Zbl 1362.46022 Górka, Przemysław; Rafeiro, Humberto 1 2017 Inversion of the Bessel potential operator in weighted variable Lebesgue spaces. Zbl 1148.47010 Almeida, Alexandre; Rafeiro, Humberto 1 2008 Functional analysis. A terse introduction. Zbl 1362.46001 Chacón, Gerardo R.; Rafeiro, Humberto; Vallejo, Juan Camilo 1 2017 On a Taylor remainder. Zbl 1413.26004 Persson, Lars-Erik; Rafeiro, Humberto 1 2017 Interpolation of an analytic family of operators on variable exponent Morrey spaces. Zbl 1414.46019 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 1 2018 Correction to: “Maximal operator in variable Stummel spaces”. Zbl 1533.46024 Almeida, Alexandre; Rafeiro, Humberto 1 2023 Duality and interpolation for weighted grand Morrey spaces. Zbl 1531.42033 Meskhi, Alexander; Rafeiro, Humberto; Tsanava, Tsira 1 2023 Local grand variable exponent Lebesgue spaces. Zbl 1530.42044 Rafeiro, Humberto; Samko, Stefan 1 2023 Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces. Zbl 1539.47093 Mukhamedov, Farrukh; Rafeiro, Humberto 1 2020 A note on Muckenhoupt weights with nonstandard growth. Zbl 1522.42034 Almeida, Alexandre; Rafeiro, Humberto 2 2023 Correction to: “Maximal operator in variable Stummel spaces”. Zbl 1533.46024 Almeida, Alexandre; Rafeiro, Humberto 1 2023 Duality and interpolation for weighted grand Morrey spaces. Zbl 1531.42033 Meskhi, Alexander; Rafeiro, Humberto; Tsanava, Tsira 1 2023 Local grand variable exponent Lebesgue spaces. Zbl 1530.42044 Rafeiro, Humberto; Samko, Stefan 1 2023 Coincidence of variable exponent Herz spaces with variable exponent Morrey type spaces and boundedness of sublinear operators in these spaces. Zbl 1494.46028 Rafeiro, Humberto; Samko, Stefan 10 2022 Grand Lebesgue space for \(p=\infty\) and its application to Sobolev-Adams embedding theorems in borderline cases. Zbl 1535.46036 Rafeiro, Humberto; Samko, Stefan; Umarkhadzhiev, Salaudin 8 2022 Boundedness of multilinear Calderón-Zygmund operators on grand variable Herz spaces. Zbl 1508.42015 Nafis, Hammad; Rafeiro, Humberto; Zaighum, Muhammad Asad 6 2022 Local grand Lebesgue spaces on quasi-metric measure spaces and some applications. Zbl 1494.42029 Rafeiro, Humberto; Samko, Stefan; Umarkhadzhiev, Salaudin 4 2022 Maximal operator in variable Stummel spaces. Zbl 1501.46026 Almeida, Alexandre; Rafeiro, Humberto 4 2022 On a class of sublinear operators in variable exponent Morrey-type spaces. Zbl 1494.46027 Rafeiro, H.; Samko, S. 4 2022 Fractional operators from vanishing Morrey to vanishing Campanato spaces in the variable exponent setting on quasi-metric measure spaces. Zbl 1512.46027 Rafeiro, Humberto; Samko, Stefan 3 2022 On embeddings of Morrey type spaces between weighted Lebesgue or Stummel spaces with application to Herz spaces. Zbl 1483.46026 Rafeiro, Humberto; Samko, Stefan 10 2021 Unique continuation of the quasilinear elliptic equation on Lebesgue spaces \(L_p\). Zbl 1473.35258 Castillo, R. E.; Rafeiro, H.; Rojas, E. M. 8 2021 Boundedness of the Marcinkiewicz integral on grand variable Herz spaces. Zbl 07371154 Nafis, Hammad; Rafeiro, Humberto; Zaighum, Muhammad Asad 6 2021 Fractional operators in \(p\)-adic variable exponent Lebesgue spaces and application to \(p\)-adic derivative. Zbl 1492.47106 Chacón-Cortés, Leonardo Fabio; Rafeiro, Humberto 3 2021 Herz spaces meet Morrey type spaces and complementary Morrey type spaces. Zbl 1464.46035 Rafeiro, Humberto; Samko, Stefan 20 2020 A note on the boundedness of sublinear operators on grand variable Herz spaces. Zbl 1503.42012 Nafis, Hammad; Rafeiro, Humberto; Zaighum, Muhammad Asad 19 2020 Variable exponent Lebesgue spaces and Hardy-Littlewood maximal function on \(p\)-adic numbers. Zbl 1451.42025 Chacón-Cortés, Leonardo Fabio; Rafeiro, Humberto 7 2020 A note on vanishing Morrey \(\rightarrow\) VMO result for fractional integrals of variable order. Zbl 1453.46023 Rafeiro, Humberto; Samko, Stefan 7 2020 Weighted Riesz bounded variation spaces and the Nemytskii operator. Zbl 1455.26005 Cruz-Uribe, D.; Guzman, O. M.; Rafeiro, H. 6 2020 On the Riesz potential operator of variable order from variable exponent Morrey space to variable exponent Campanato space. Zbl 1544.47081 Rafeiro, Humberto; Samko, Stefan 6 2020 Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces. Zbl 1539.47093 Mukhamedov, Farrukh; Rafeiro, Humberto 1 2020 BMO-VMO results for fractional integrals in variable exponent Morrey spaces. Zbl 1459.46038 Rafeiro, Humberto; Samko, Stefan 10 2019 Multiplication operator on Köthe spaces: measure of non-compactness and closed range. Zbl 07093443 Castillo, René Erlin; Rafeiro, Humberto; Ramos-Fernández, Julio C.; Salas-Brown, Margot 10 2019 Commutators of sublinear operators in grand Morrey spaces. Zbl 1463.47105 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 8 2019 Boundedness of the Bergman projection and some properties of Bergman type spaces. Zbl 1421.30070 Karapetyants, Alexey; Rafeiro, Humberto; Samko, Stefan 5 2019 On the boundedness of Marcinkiewicz integrals on continual variable exponent Herz spaces. Zbl 1427.42020 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 5 2019 Linear functionals on variable exponent Bochner-Lebesgue spaces. Zbl 1455.46029 Castillo, René Erlín; Guzmán, Oscar M.; Rafeiro, Humberto 3 2019 On singular operators in vanishing generalized variable-exponent Morrey spaces and applications to Bergman-type spaces. Zbl 1434.42019 Karapetyants, A. N.; Rafeiro, H.; Samko, S. G. 2 2019 Grand Lebesgue sequence spaces. Zbl 1401.46025 Rafeiro, Humberto; Samko, Stefan; Umarkhadzhiev, Salaudin 16 2018 Central Calderón-Zygmund operators on Herz-type Hardy spaces of variable smoothness and integrability. Zbl 1400.42014 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 11 2018 Interpolation of an analytic family of operators on variable exponent Morrey spaces. Zbl 1414.46019 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 1 2018 Carleson measures for variable exponent Bergman spaces. Zbl 1387.30081 Chacón, Gerardo R.; Rafeiro, Humberto; Vallejo, Juan Camilo 10 2017 Maximal operator with rough kernel in variable Musielak-Morrey-Orlicz type spaces, variable Herz spaces and grand variable Lebesgue spaces. Zbl 1387.42020 Rafeiro, Humberto; Samko, Stefan 8 2017 Light side of compactness in Lebesgue spaces: Sudakov theorem. Zbl 1370.46012 Górka, Przemysław; Rafeiro, Humberto 8 2017 Boundedness of sublinear operators in weighted grand Morrey spaces. Zbl 1432.42011 Kokilashvili, V.; Meskhi, A.; Rafeiro, H. 6 2017 Historical synopsis of the Taylor remainder. Zbl 1387.26001 Persson, Lars-Erik; Rafeiro, Humberto; Wall, Peter 3 2017 Nemytskii operator in Riesz-bounded variation spaces with variable exponent. Zbl 1476.47039 Castillo, René Erlín; Guzmán, Oscar Mauricio; Rafeiro, Humberto 2 2017 Complex interpolation on variable exponent Campanato spaces of order \(k\). Zbl 1373.46013 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 2 2017 Corrigendum to: “From Arzelà-Ascoli to Riesz-Kolmogorov”. Zbl 1362.46022 Górka, Przemysław; Rafeiro, Humberto 1 2017 Functional analysis. A terse introduction. Zbl 1362.46001 Chacón, Gerardo R.; Rafeiro, Humberto; Vallejo, Juan Camilo 1 2017 On a Taylor remainder. Zbl 1413.26004 Persson, Lars-Erik; Rafeiro, Humberto 1 2017 Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces. Zbl 1367.47004 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan 171 2016 Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces. Zbl 1385.47001 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto; Samko, Stefan 165 2016 An introductory course in Lebesgue spaces. Zbl 1352.46003 Castillo, René Erlín; Rafeiro, Humberto 88 2016 Fractional integrals and derivatives: mapping properties. Zbl 1351.26016 Rafeiro, Humberto; Samko, Stefan 21 2016 From Arzelà-Ascoli to Riesz-Kolmogorov. Zbl 1362.46021 Górka, Przemysław; Rafeiro, Humberto 15 2016 Toeplitz operators on variable exponent Bergman spaces. Zbl 1354.30049 Chacón, Gerardo R.; Rafeiro, Humberto 12 2016 Interpolation on variable Morrey spaces defined on quasi-metric measure spaces. Zbl 1351.46018 Meskhi, Alexander; Rafeiro, Humberto; Zaighum, Muhammad Asad 12 2016 Variable exponent bounded variation spaces in the Riesz sense. Zbl 1334.26015 Castillo, René E.; Guzmán, Oscar Mauricio; Rafeiro, Humberto 7 2016 On maximal and potential operators with rough kernels in variable exponent spaces. Zbl 1344.42016 Rafeiro, Humberto; Samko, Stefan 6 2016 Sublinear operators in generalized weighted Morrey spaces. Zbl 06688877 Kokilashvili, V.; Meskhi, A.; Rafeiro, H. 6 2016 Riesz potential operator in continual variable exponents Herz spaces. Zbl 1325.46034 Rafeiro, Humberto; Samko, Stefan 21 2015 On the compactness in grand spaces. Zbl 1335.46023 Rafeiro, Humberto; Vargas, Andrés 10 2015 Multiplication operators in variable Lebesgue spaces. Zbl 06715732 Castillo, René Erlin; Ramos Fernández, Julio C.; Rafeiro, Humberto 10 2015 Inequalities with conjugate exponents in grand Lebesgue space. Zbl 1343.46025 Erlín Castillo, René; Rafeiro, Humberto 6 2015 Space of functions with some generalization of bounded variation in the sense of de La Vallée Poussin. Zbl 1343.46033 Castillo, René Erlín; Rafeiro, Humberto; Trousselot, Eduard 3 2015 Variable exponent Bergman spaces. Zbl 1288.30059 Chacón, Gerardo R.; Rafeiro, Humberto 19 2014 Estimates for nondivergence elliptic equations with VMO coefficients in generalized grand Morrey spaces. Zbl 1290.35285 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 16 2014 Grand Bochner-Lebesgue space and its associate space. Zbl 1308.46052 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 16 2014 Bounded variation spaces with \(p\)-variable. Zbl 1307.26008 Castillo, René Erlín; Merentes, Nelson; Rafeiro, Humberto 5 2014 On minimization of a non-convex functional in variable exponent spaces. Zbl 1287.49004 Chacón, Gerardo R.; Colucci, Renato; Rafeiro, Humberto; Vargas, Andrés 4 2014 A generalization for the Riesz \(p\)-variation. Zbl 1351.26020 Castillo, René Erlín; Rafeiro, Humberto; Trousselot, Eduard 3 2014 Embeddings on spaces of generalized bounded variation. Zbl 1351.26019 Castillo, René Erlín; Rafeiro, Humberto; Trousselot, Eduard 2 2014 Nemytskii operator on generalized bounded variation space. Zbl 1298.26032 Castillo, René Erlín; Rafeiro, Humberto; Trousselot, Eduard 2 2014 Morrey-Campanato spaces: an overview. Zbl 1273.46019 Rafeiro, Humberto; Samko, Natasha; Samko, Stefan 91 2013 A note on boundedness of operators in grand grand Morrey spaces. Zbl 1280.46019 Rafeiro, Humberto 33 2013 Riesz type potential operators in generalized grand Morrey spaces. Zbl 1280.46017 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 15 2013 Boundedness of commutators of singular and potential operators in generalized grand Morrey spaces and some applications. Zbl 1292.42009 Kokilashvili, Vakhtang; Meskhi, Alexander; Rafeiro, Humberto 13 2013 Variable exponent Campanato spaces. Zbl 1230.46027 Rafeiro, H.; Samko, S. 25 2011 The Chen-Marchaud fractional integro-differentiation in the variable exponent Lebesgue spaces. Zbl 1273.46020 Rafeiro, Humberto; Yakhshiboev, Makhmadiyor 3 2011 Characterization of the variable exponent Bessel potential spaces via the Poisson semigroup. Zbl 1194.46044 Rafeiro, Humberto; Samko, Stefan 2 2010 Kolmogorov compactness criterion in variable exponent Lebesgue spaces. Zbl 1190.46030 Rafeiro, H. 18 2009 Hardy type inequality in variable Lebesgue spaces. Zbl 1177.47045 Rafeiro, Humberto; Samko, Stefan 11 2009 Characterization of the range of one-dimensional fractional integration in the space with variable exponent. Zbl 1160.46022 Rafeiro, Humberto; Samko, Stefan 6 2008 Dominated compactness theorem in Banach function spaces and its applications. Zbl 1186.47017 Rafeiro, Humberto; Samko, Stefan 4 2008 Approximative method for the inversion of the Riesz potential operator in variable Lebesgue spaces. Zbl 1165.46012 Rafeiro, Humberto; Samko, Stefan 4 2008 Inversion of the Bessel potential operator in weighted variable Lebesgue spaces. Zbl 1148.47010 Almeida, Alexandre; Rafeiro, Humberto 1 2008 On a class of fractional type integral equations in variable exponent spaces. Zbl 1152.45003 Rafeiro, Humberto; Samko, Stefan 2 2007 On multidimensional analogue of Marchaud formula for fractional Riesz-type derivatives in domains in \(\mathbb R^n\). Zbl 1141.42014 Rafeiro, Humberto; Samko, Stefan 7 2005 all cited Publications top 5 cited Publications all top 5 Cited by 540 Authors 62 Rafeiro, Humberto 51 Meskhi, Alexander 51 Samko, Stefan Grigor’evich 39 Kokilashvili, Vakhtang 20 Castillo, René Erlín 16 Karapetyants, Alekseĭ Nikolaevich 15 Samko, Natasha 15 Umarkhadzhiev, Salaudin Musaevich 14 Sawano, Yoshihiro 14 Yang, Dachun 13 Fiorenza, Alberto 13 Ramos-Fernández, Julio C. 12 Almeida, Alexandre 11 Bilalov, Bilal T. 11 Guliyev, Vagif Sabir 11 Shimomura, Tetsu 10 Karlovych, Oleksiy 10 Ohno, Takao 10 Sadigova, Sabina Rahib 10 Xu, Jingshi 10 Zeren, Yusuf 9 Zaighum, Muhammad Asad 8 Górka, Przemysław 8 Sultan, Babar 8 Yuan, Wen 7 Edmunds, David Eric 7 Najafov, Alik Malik oglu 7 Restrepo, Joel Esteban 7 Singh, Monika 7 Sultan, Mehvish 6 Anatriello, Giuseppina 6 Bandaliev, Rovshan Alifaga ogly 6 Formica, Maria Rosaria 6 Ho, Kwok-Pun 6 Jain, Pankaj 6 Salas Brown, Margot 6 Surnachëv, Mikhaĭl Dmitrievich 6 Trousselot, Eduard 6 Wang, Liwei 6 Weisz, Ferenc 5 Chaparro, Héctor Camilo 5 Drihem, Douadi 5 Guzmán, Oscar Mauricio 5 Hao, Zhiwei 5 Jafarov, Sadulla Z. 5 Li, Libo 5 Mamedov, Eminaga M. 5 Mastyło, Mieczysław 5 Mizuta, Yoshihiro 5 Tsanava, Tsira 4 Berghout, Mohamed 4 Burenkov, Viktor Ivanovich 4 Burtseva, Evgeniya 4 Cetin, Seyma 4 Chacón, Gerardo R. 4 Cruz-Uribe, David Vincente 4 Hakim, Denny Ivanal 4 Ismailov, Migdad I. 4 Izuki, Mitsuo 4 Makharadze, Dali 4 Mamedov, Farman Imran 4 Nakai, Eiichi 4 Persson, Lars-Erik 4 Shargorodsky, Eugene 4 Sin, Cholmin 4 Singh, Arun Pal 4 Tao, Shuangping 4 Wu, Jianglong 3 Alabalık, Ayşegül Çelik 3 Alkhutov, Yuriy Alexandrovich 3 Baalal, Azeddine 3 Bajaj, Daljeet Singh 3 Balci, Anna Kh. 3 Capone, Claudia 3 Chen, Yiqun 3 Colucci, Renato 3 Daher, Radouan 3 Datt, Gopal 3 Diening, Lars 3 Dung, Kieu Huu 3 Giova, Raffaella 3 Gürkanlı, Ahmet Turan 3 Hasanov, Javanshir J. 3 Horváth, Ágota P. 3 Huang, Long 3 Hussain, Amjad 3 Ismailov, Miqdad I. 3 Jia, Hongchao 3 Karacam, Cemil 3 Lu, Guanghui 3 Lukkassen, Dag 3 Nafis, Hammad 3 Nasibova, Natavan P. 3 Noi, Takahiro 3 Ragusa, Maria Alessandra 3 Rojas, Edixon Manuel 3 Rosenthal, Marcel 3 Suragan, Durvudkhan 3 Thuy, Pham Thi Kim 3 Zhang, Yangyang ...and 440 more Authors all top 5 Cited in 176 Serials 27 Fractional Calculus & Applied Analysis 23 Transactions of A. Razmadze Mathematical Institute 22 Mediterranean Journal of Mathematics 19 Mathematische Nachrichten 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 Journal of Function Spaces 16 Mathematical Notes 15 Georgian Mathematical Journal 13 Journal of Mathematical Analysis and Applications 11 Journal of Functional Analysis 10 Mathematical Methods in the Applied Sciences 10 Journal of Mathematical Sciences (New York) 9 Turkish Journal of Mathematics 9 The Journal of Fourier Analysis and Applications 9 Annals of Functional Analysis 8 Results in Mathematics 8 Positivity 8 Journal of Pseudo-Differential Operators and Applications 7 Journal of Inequalities and Applications 7 Revista Matemática Complutense 7 Complex Variables and Elliptic Equations 7 Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences 7 Banach Journal of Mathematical Analysis 7 Azerbaijan Journal of Mathematics 7 Analysis and Mathematical Physics 6 Complex Analysis and Operator Theory 6 Advances in Operator Theory 5 Applicable Analysis 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Ricerche di Matematica 4 The Journal of Geometric Analysis 4 Calculus of Variations and Partial Differential Equations 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Proceedings of the Steklov Institute of Mathematics 4 Bulletin of the Georgian National Academy of Sciences. New Series 4 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 4 Eurasian Mathematical Journal 4 Afrika Matematika 4 Sahand Communications in Mathematical Analysis 3 Analysis Mathematica 3 Rocky Mountain Journal of Mathematics 3 Studia Mathematica 3 Ukrainian Mathematical Journal 3 Collectanea Mathematica 3 Journal of Differential Equations 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Indagationes Mathematicae. New Series 3 Acta Mathematica Sinica. English Series 3 Lobachevskii Journal of Mathematics 3 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 3 Communications on Pure and Applied Analysis 3 Journal of Function Spaces and Applications 3 Journal of Mathematical Inequalities 3 Science China. Mathematics 3 Kyoto Journal of Mathematics 3 Open Mathematics 3 Journal of Elliptic and Parabolic Equations 3 Baku Mathematical Journal 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Czechoslovak Mathematical Journal 2 Fuzzy Sets and Systems 2 Integral Equations and Operator Theory 2 Monatshefte für Mathematik 2 Proceedings of the American Mathematical Society 2 Quaestiones Mathematicae 2 Tokyo Journal of Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Acta Mathematica Hungarica 2 Physica D 2 Constructive Approximation 2 International Journal of Mathematics 2 Russian Mathematics 2 Potential Analysis 2 Bulletin des Sciences Mathématiques 2 Integral Transforms and Special Functions 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Doklady Mathematics 2 Nonlinear Dynamics 2 Abstract and Applied Analysis 2 Mathematical Inequalities & Applications 2 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 2 Communications in Contemporary Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Computational Methods and Function Theory 2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 2 Hacettepe Journal of Mathematics and Statistics 2 Analysis and Applications (Singapore) 2 Cubo 2 Proyecciones 2 Palestine Journal of Mathematics 2 Portugaliae Mathematica 1 Bulletin of the Australian Mathematical Society 1 Linear and Multilinear Algebra 1 Moscow University Mathematics Bulletin 1 Nonlinearity 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 76 more Serials all top 5 Cited in 42 Fields 373 Functional analysis (46-XX) 272 Harmonic analysis on Euclidean spaces (42-XX) 140 Operator theory (47-XX) 122 Real functions (26-XX) 86 Partial differential equations (35-XX) 37 Functions of a complex variable (30-XX) 18 Approximations and expansions (41-XX) 17 Probability theory and stochastic processes (60-XX) 14 Ordinary differential equations (34-XX) 14 Abstract harmonic analysis (43-XX) 14 Integral equations (45-XX) 13 Integral transforms, operational calculus (44-XX) 12 Potential theory (31-XX) 10 Measure and integration (28-XX) 10 Fluid mechanics (76-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Numerical analysis (65-XX) 5 Number theory (11-XX) 5 Special functions (33-XX) 5 Sequences, series, summability (40-XX) 5 Differential geometry (53-XX) 5 General topology (54-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistics (62-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Difference and functional equations (39-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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