@Article{Bagby 1983, author="R. J. Bagby ", title="Maximal functions and rearrangements: some new proofs", journal="Indiana Univ. Math. J.", year="1983", pages=" 879–891. ", volume="32" } @Article{Chang1985, author="A. Chang, R. Fefferman ", title="Some recent developments in Fourier Analysis and \(H^p\) theory on product domains", journal="Bull. Amer. Math. Soc.", year="1985", pages="1–43.", volume="12" } @Article{Cordoba1979, author="A. Cordoba", title="Maximal functions, covering lemmas and Fourier multipliers", journal="In: Harmonic Analysis in Euclidean Spaces (Proc. Sympos. Pure Math.)", year="1979", pages=" 29–50. ", volume="1979" } @Article{Cordoba1975, author="A. Cordoba, R. Fefferman ", title="A geometric proof of the strong maximal theorem", journal=" Ann. Math. Second Series", year="1975", pages="95–100.", volume="102" } @Article{Cordoba1976, author="A. Cordoba, C. Fefferman", title="A weighted norm inequality for singular integrals", journal="Studia Math.", year="1976", pages="97–101. ", volume="57" } @Article{Cruz-Uribe2007, author="D. Cruz-Uribe, J. M. Martell, C. Pérez", title="Sharp two weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture", journal="Adv. Math.", year="2007", pages="647–676.", volume="216" } @Article{Ding2016, author="W. Ding, L. X. Jiang, Y. P. Zhu", title="Boundedness of strong maximal functions with respect to non-doubling measures", journal="J. Inequal. Appl.", year="2016", pages="14 pages. ", volume="2016" } @Article{Fefferman1984, author="R. Fefferman", title="Some weighted norm inequalities for Cordoba’s maximal function", journal="Amer. J. Math.", year="1984", pages="1261–1264.", volume="106" } @Article{Fefferman1981, author="R. Fefferman", title="Strong differentiation with respect to measures", journal="Amer. J. Math.", year="1981", pages="33–40. ", volume="103" } @Article{Fefferman1997, author="R. Fefferman, J. Pipher", title="Multiparameter operators and sharp weighted inequalites", journal="Amer. J. Math.", year="1997", pages="337–369.", volume="119" } @Article{Fefferman1971, author="C. Fefferman, E. Stein", title="Some maximal inequalities", journal=" Amer. J. Math.", year="1971", pages="107–115. ", volume="93" } @Book{Garcia-Cuerva1985, author="J. Garcia-Cuerva, J. L. Rubio de Francia", title="Weighted norm inequalities and related topics", year="1985", publisher="North-Holland Publishing Co.", address="Amsterdam" } @Book{Grafakos2008, author="L. Grafakos", title="Classical Fourier Analysis ", year="2008", publisher="Springer-Verlag", address="New York" } @Article{Han2010, author="Y. Han, M. Y. Lee, C. C. Lin, Y. C. Lin", title="Calderón-Zygmund operators on product Hardy spaces", journal="J. Fourier Anal.", year="2010", pages="2834–2861.", volume="258" } @Article{Han2013, author="Y. S. Han, C. C. Lin, G. Z. Lu, Z. P. Ruan, E. T. Sawyer", title="Hardy spaces associated with different homogeneities and boundedness of composition operators", journal="Rev. Mat. Iberoam.", year="2013", pages="1127–1157. ", volume="29" } @Article{Jawerth1984, author="B. Jawerth, A. Torchinsky", title="The strong maximal function with respect to measures", journal="Studia Math.", year="1984", pages="261–285.", volume="80" } @Article{Journé1985, author="J. L. Journé", title="Calderman-Zygmund operators on product spaces", journal="Rev. Mat. Iberoam", year="1985", pages="55–92. ", volume="1" } @Article{Long1988, author="R. L. Long, Z. W. Shen", title="A note on a covering lemma of A. Cordoba and R. Fefferman", journal="Chinese Ann. Math. Ser. B", year="1988", pages=" 283–291.", volume="9" } @Article{Luque2014, author="T. Luque, I. Parissis", title="The endpoint Fefferman-Stein inequality for the strong maximal function", journal="J. Fourier Anal.", year="2014", pages="199–212.", volume="266" } @Article{Mateu2000, author="J. Mateu, P. Mattila, A. Nicolau, J. Orobitg", title="BMO for nondoubling measures", journal="Duke Math. J.", year="2000", pages="533–565.", volume="102" } @Article{Mitsis2006, author="T. Mitsis", title="The weighted weak type inequality for the strong maximal function", journal="J. Fourier Anal. Appl.", year="2006", pages="645–652. ", volume="12" } @Article{Muckenhoupt1965, author="B. Muckenhoupt, E. M. Stein", title="Classical expansions and their relation to conjugate harmonic functions", journal="Trans. Amer. Math. Soc.", year="1965", pages="17–92.", volume="118" } @Article{Nazarov1997, author="F. Nazarov, S. Treil, A. Volberg", title="Cauchy integral and Calderón-Zygmund operators on nonhomogeneous spaces", journal="Internat. Math. Res. Notices", year="1997", pages="703–726. ", volume="15" } @Article{Nazarov1999, author="F. Nazarov, S. Treil, A. Volberg", title="The Bellman function and two weight inequalities for Haar multipliers", journal="J. Amer. Math. Soc.", year="1999", pages="909–928.", volume="12" } @Article{Orobitg2002, author="J. Orobitg, C. Pérez", title="\(A_p\) weights for nondoubling measures in \(R^n\) and applications", journal="Trans. Amer. Math. Soc.", year="2002", pages="2013–2033. ", volume="354" } @Article{Perez1993, author="C. Perez", title="A remark on weighted inequalities for general maximal operators", journal="Proc. Amer. Math. Soc.", year="1993", pages="1121– 1126.", volume="119" } @Article{Perez1991, author="C. Perez", title="Weighted norm inequalities for general maximal operators", journal="Publ. Mat.", year="1991", pages="169–186. ", volume="35" } @Article{Sawyer1982, author="E. T. Sawyer", title="A characterization of a two weight norm inequality for maximal operators", journal="Studia Math.", year="1982", pages="1–11.", volume="75" } @Article{Sjögren1983, author="P. Sjögren", title="A remark on maximal function for measures in \(R^n\)", journal="Amer. J. Math.", year="1983", pages="1231–1233. ", volume="105" } @Book{Stein1993, author="E. M. Stein", title="Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals", year="1993", publisher="Princeton University Press", address="Princeton" } @Article{Tolsa 2001, author="X. Tolsa ", title="BMO, \(H^1\) and Calderón-Zygmund operators for non doubling measures", journal="Math. Ann.", year="2001", pages=" 89–149.", volume="319" }