Institute of Mathematics

References:
[1] P. Auscher, M. Egert: Hardy spaces for boundary value problems of elliptic systems with block structure. J. Geom. Anal. 31 (2021), 9182-9198. DOI 10.1007/s12220-021-00608-1 | MR 4302218 | Zbl 1473.35155
[2] P. Auscher, M. Egert: Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure. Progress in Mathematics 346. Birkhäuser, Cham (2023). DOI 10.1007/978-3-031-29973-5 | MR 4628043 | Zbl 07730807
[3] A. P. Calderón: Estimates for singular integral operators in terms of maximal functions. Stud. Math. 44 (1972), 563-582. DOI 10.4064/sm-44-6-563-582 | MR 348555 | Zbl 0222.44007
[4] R. R. Coifman: A real variable characterization of $H^p$. Stud. Math. 51 (1974), 269-274. DOI 10.4064/sm-51-3-269-274 | MR 358318 | Zbl 0289.46037
[5] D. V. Cruz-Uribe, A. Fiorenza: Variable Lebesgue Spaces: Foundations and Harmonic Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham (2013). DOI 10.1007/978-3-0348-0548-3 | MR 3026953 | Zbl 1268.46002
[6] D. V. Cruz-Uribe, J. M. Martell, C. Pérez: Weights, Extrapolation and the Theory of Rubio de Francia. Operator Theory: Advances and Applications 215. Birkhäuser, Basel (2011). DOI 10.1007/978-3-0348-0072-3 | MR 2797562 | Zbl 1234.46003
[7] D. V. Cruz-Uribe, D. Wang: Variable Hardy spaces. Indiana Univ. Math. J. 63 (2014), 447-493. DOI 10.1512/iumj.2014.63.5232 | MR 3233216 | Zbl 1311.42053
[8] L. Diening, P. Harjulehto, P. Hästö, M. Růžička: Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics 2017. Springer, Berlin (2011). DOI 10.1007/978-3-642-18363-8 | MR 2790542 | Zbl 1222.46002
[9] C. L. Fefferman, E. M. Stein: $H^p$ spaces of several variables. Acta Math. 129 (1972), 137-193. DOI 10.1007/BF02392215 | MR 447953 | Zbl 0257.46078
[10] J. García-Cuerva: Weighted $H^p$ spaces. Diss. Math. 162 (1979), 1-63. MR 549091 | Zbl 0434.42023
[11] J. García-Cuerva, J. L. Rubio de Francia: Weighted Norm Inequalities and Related Topics. North-Holland Mathematics Studies 116. North-Holland, Amsterdam (1985). DOI 10.1016/s0304-0208(08)x7154-3 | MR 807149 | Zbl 0578.46046
[12] A. B. Gatto, C. Segovia, J. G. Jiménez,: On the solution of the equation $\Delta^mF = f$ for $f \in H^p$. Conference on Harmonic Analysis in honor of Antoni Zygmund, Volume II. Wadsworth International Group, Belmont (1983). MR 0730081 | Zbl 0504.35040
[13] I. M. Gel'fand, G. E. Shilov: Generalized Functions. Volume 1. Properties and Operations. Academic Press, New York (1964). MR 0166596 | Zbl 0115.33101
[14] L. Grafakos: Classical Fourier Analysis. Graduate Texts in Mathematics 249. Springer, New York (2014). DOI 10.1007/978-1-4939-1194-3 | MR 3243734 | Zbl 1304.42001
[15] L. Grafakos: Modern Fourier Analysis. Graduate Texts in Mathematics 250. Springer, New York (2014). DOI 10.1007/978-1-4939-1230-8 | MR 3243741 | Zbl 1304.42002
[16] O. Kováčik, J. Rákosník: On spaces $L^{p(x)}$ and $W^{k,p(x)}$. Czech. Math. J. 41 (1991), 592-618. DOI 10.21136/CMJ.1991.102493 | MR 1134951 | Zbl 0784.46029
[17] R. H. Latter: A characterization of $H^p(\Bbb{R}^n)$ in terms of atoms. Stud. Math. 62 (1978), 93-101. DOI 10.4064/sm-62-1-93-101 | MR 482111 | Zbl 0398.42017
[18] S. Lu: Four Lectures on Real $H^p$ Spaces. World Scientific, Singapore (1995). DOI 10.1142/2650 | MR 1342077 | Zbl 0839.42005
[19] B. Muckenhoupt: Weighted norm inequalities for the Hardy maximal function. Trans. Am. Math. Soc. 165 (1972), 207-226. DOI 10.1090/S0002-9947-1972-0293384-6 | MR 293384 | Zbl 0236.26016
[20] E. Nakai, Y. Sawano: Hardy spaces with variable exponents and generalized Campanato spaces. J. Funct. Anal. 262 (2012), 3665-3748. DOI 10.1016/j.jfa.2012.01.004 | MR 2899976 | Zbl 1244.42012
[21] S. Ombrosi: On spaces associated with primitives of distributions in one-sided Hardy spaces. Rev. Unión Mat. Argent. 42 (2001), 81-102. MR 1969626 | Zbl 1196.42023
[22] S. Ombrosi, A. Perini, R. Testoni: An interpolation theorem between Calderón-Hardy spaces. Rev. Unión Mat. Argent. 58 (2017), 1-19. MR 3665895 | Zbl 1369.42013
[23] S. Ombrosi, C. Segovia: One-sided singular integral operators on Calderón-Hardy spaces. Rev. Unión Mat. Argent. 44 (2003), 17-32. MR 2051035 | Zbl 1078.42008
[24] W. Orlicz: Über konjugierte Exponentenfolgen. Stud. Math. 3 (1931), 200-211 (In German.). DOI 10.4064/sm-3-1-200-211 | Zbl 0003.25203
[25] A. Perini: Boundedness of one-sided fractional integrals in the one-sided Calderón-Hardy spaces. Commentat. Math. Univ. Carol. 52 (2011), 57-75. MR 2828370 | Zbl 1240.42061
[26] P. Rocha: Calderón-Hardy spaces with variable exponents and the solution of the equation $\Delta^mF=f$ for $f \in H^{p(\cdot)}(\Bbb{R}^n)$. Math. Inequal. Appl. 19 (2016), 1013-1030. DOI 10.7153/mia-19-75 | MR 3535220 | Zbl 1350.42040
[27] P. Rocha: On the atomic and molecular decomposition of weighted Hardy spaces. Rev. Unión Mat. Argent. 61 (2020), 229-247. DOI 10.33044/revuma.v61n2a03 | MR 4198908 | Zbl 1467.42034
[28] E. M. Stein: Singular Integrals and Differentiability Properties of Functions. Princeton Mathematical Series 30. Princeton University Press, Princeton (1970). DOI 10.1515/9781400883882 | MR 0290095 | Zbl 0207.13501
[29] E. M. Stein: Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals. Princeton Mathematical Series 43. Princeton University Press, Princeton (1993). DOI 10.1515/9781400883929 | MR 1232192 | Zbl 0821.42001
[30] E. M. Stein, G. Weiss: On the theory of harmonic functions of several variables I. The theory of $H^p$ spaces. Acta Math. 103 (1960), 25-62. DOI 10.1007/BF02546524 | MR 121579 | Zbl 0097.28501
[31] J.-O. Strömberg, A. Torchinsky: Weighted Hardy Spaces. Lecture Notes in Mathematics 1381. Springer, Berlin (1989). DOI 10.1007/BFb0091154 | MR 1011673 | Zbl 0676.42021
[32] M. H. Taibleson, G. Weiss: The molecular characterization of certain Hardy spaces. Astérisque 77 (1980), 67-149. MR 604370 | Zbl 0472.46041
[33] A. Uchiyama: Hardy Spaces on the Euclidean Space. Springer Monographs in Mathematics. Springer, Berlin (2001). DOI 10.1007/978-4-431-67905-9 | MR 1845883 | Zbl 0984.42015