Weak and extra-weak type inequalities for the maximal operator and the Hilbert transform

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1. 10.4064/sm-95-3-195-204, Studia Math. 95 (1990), 195–204. (1990) Zbl0718.42018MR1060723DOI10.4064/sm-95-3-195-204
2. Weights and $LlogL$, Pacific J. Math. 120-1 (1985), 33–45. (1985) MR0808927
3. 10.1073/pnas.69.10.2838, Proc. Nat. Acad. Sci. USA 69 (1972), 2838–2839. (1972) Zbl0243.44006MR0303226DOI10.1073/pnas.69.10.2838
4. 10.4064/sm-51-3-241-250, Studia Math. 51 (1974), 241–250. (1974) MR0358205DOI10.4064/sm-51-3-241-250
5. Weighted bounded mean oscillation and singular integrals, Math. Japonica 22-5 (1978), 529–534. (1978) Zbl0385.26010MR0481968
6. Weighted weak type integral inequalities for the Hardy-Littlewood maximal operator, Israel J. Math. 67-1 (1989), 95–108. (1989) Zbl0683.42021MR1021364
7. Weighted norm inequalities and related topics, North Holland, Amsterdam, 1985. (1985) MR0807149
8. Bounded analytic functions, Academic Press, New York-etc., 1981. (1981) Zbl0469.30024MR0628971
9. Riesz transforms and maximal functions in $\phi \left(L\right)$ classes, Bull. Acad. Sci. Georgian SSR 137-3 (1990), 489–492. (1990) Zbl0716.44004MR1087544
10. Maximal functions and $\phi \left(L\right)$ classes, Dokl. Akad. Nauk SSSR 314-3 (1990), 534–536. (1990) MR1094013
11. A description of weights satisfying the $A_{\infty }$ condition of Muckenhoupt, Proc. Amer. Math. Soc. 90-2 (1984), 253–257. (1984) MR0727244
12. 10.4064/sm-71-3-277-284, Studia Math. 71 (1982), 277–284. (1982) MR0667316DOI10.4064/sm-71-3-277-284
13. Maximal inequalities and multipliers in weighted Lizorkin-Triebel spaces, Soviet Math. Dokl. 19-2 (1978), 272–275. (1978) Zbl0396.46034
14. Convex functions and Orlicz spaces, Noordhoff, Groningen, 1961. (1961) 
15. Two weights weak type inequalities for the maximal function in the Zygmund class, Function Spaces and Applications. Proc. Conf. Lund 1986, M. Cwikel et al. (eds.), Lecture Notes in Math. 1302, Springer, Berlin-etc., 1988, pp. 317–320. (1988) MR0942276
16. 10.1090/S0002-9947-1972-0293384-6, Trans. Amer. Math. Soc. 165 (1972), 207–227. (1972) Zbl0236.26016MR0293384DOI10.1090/S0002-9947-1972-0293384-6
17. Two weights weak type inequality for the maximal function in $L{\left({log}^{+}L\right)}^K$, Constructive Theory of Functions. Proc. Conf. Varna 1987, B. Sendov et al. (eds.), Publ. House Bulg. Acad. Sci., Sofia, 1988, pp. 377–381. (1988) MR0994864
18. Two-weight weak type maximal inequalities in Orlicz classes, Studia Math. 100-3 (1991), 207–218. (1991) Zbl0752.42012MR1133385
19. Singular integrals and the differentiability properties of functions, Academic Press, Princeton, 1970. (1970) MR0290095