Publications/Preprints of Andrei Lerner

 

Title

Coauthors

Status

  
46 The John-Nirenberg inequality with sharp constants   Submitted. pdf
45 On sharp aperture-weighted estimates for square functions   Submitted. pdf
44 Mixed Ap-A∞ estimates with one supremum K. Moen Submitted. pdf
43

Sharp weighted bounds for multilinear maximal functions and
Calderón-Zygmund operators

 W. Damián
C. Pérez
Submitted. pdf
42 On an estimate of Calderón-Zygmund operators by dyadic positive operators   J. Anal. Math., accepted. pdf
41 A simple proof of the A2 conjecture Int. Math. Res. Not., 2012;
doi: 10.1093/imrn/rns145.
 pdf
40 Mixed Ap-Ar inequalities for classical singular integrals and Littlewood-Paley operators J. Geom. Anal., accepted. pdf
39 An extrapolation theorem with applications to weighted estimates for singular integrals S. Ombrosi J. Funct. Anal., 262 (2012),
no. 10, 4475–4487. 		pdf
38 A "local mean oscillation" decomposition and some its applications   Function spaces, Approximation, Inequalities and Lineability, Lectures of the Spring School in Analysis, Matfyzpress, Prague (2011), 71-106. pdf
37 Sharp weighted norm inequalities for Littlewood-Paley operators and singular integrals Adv. Math.,
226 (2011), 3912-3926.
 pdf
36 A pointwise estimate for local sharp maximal function
with applications to singular integrals		 Bull. London Math. Soc.,
42 (2010), no. 5, 843–856. 		pdf
35 Some remarks on the Fefferman-Stein inequality J. Anal. Math.,
112 (2010), 329-349. 		pdf
34 On some questions related to the maximal operator on
variable Lp spaces		 Trans. Amer. Math. Soc., 362
(2010), no. 8, 4229-4242. 		pdf
33 A boundedness criterion for general maximal operators S. Ombrosi Publ. Mat., 54 (2010)
no. 1, 53-71.
 pdf
32 A1 bounds for Calderón-Zygmund operators related to a
problem of Muckenhoupt and Wheeden		 S. Ombrosi
C. Pérez 		Math. Res. Lett., 16 (2009)
no. 1, 149-156.
 pdf
31 New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory

S. Ombrosi
C. Pérez
R.H. Torres
R. Trujillo-González

 Adv. Math., 220 (2009)
no. 4, 1222-1264.
pdf
30

Weak type estimates for singular integrals related
to a dual problem of Muckenhoupt-Wheeden

S. Ombrosi
C. Pérez 		J. Fourier Anal. Appl.,
15 (2009) no. 3, 394-403.
pdf
29

Sharp A1 bounds for Calderón-Zygmund operators and the
relationship  with a problem of Muckenhoupt and Wheeden

S. Ombrosi
C. Pérez

Int. Math. Res. Not., vol. 2008:
article ID rnm161, 11 pages.

pdf
28 An elementary approach to several results
on the Hardy-Littlewood maximal operator		   Proc. Amer. Math. Soc.,
136 (2008) no. 8, 2829-2833. 		pdf
27 On some weighted norm inequalities for
Littlewood-Paley operators		 Illinois J. Math., 52 (2008)
no. 2, 653-666. 		pdf
26

A new characterization of the Muckenhoupt Ap weights
through an extension of the Lorentz-Shimogaki theorem

C. Pérez Indiana Univ. Math. J., 56 (2007) no. 6, 2697–2722. pdf
25 A note on the maximal Gurov-Reshetnyak condition

A.A. Korenovskyy
A.M. Stokolos

 Ann. Acad. Sci. Fenn. Math.,
32 (2007), 461-470. 		pdf
24 BMO-boundedness of the maximal operator for
arbitrary measures		   Israel J. Math., 159 (2007)
no. 1, 243-252. 		pdf
23 Multidimensional Hausdorff operators in the real Hardy space E. Liflyand J. Aust. Math. Soc., 83 (2007)
no. 1, 79-86. 		pdf
22 On some sharp weighted norm inequalities   J. Funct. Anal., 232 (2006)
no. 2, 477-494.		 pdf
21 Self-improving properties of generalized Poincaré type
inequalities through rearrangements 		C. Pérez Math. Scand., 97 (2005)
no. 2, 217-234.		 pdf
20 On modular inequalities in variable Lp spaces   Arch. Mat., 85 (2005)
no. 6, 538-543.		 pdf
19 Some remarks on the Hardy-Littlewood maximal function
on variable Lp spaces		 Math. Z., 251 (2005)
no. 3, 509-521.		 pdf
18 A new approach to rearrangements of maximal operators Bull. London Math. Soc., 37 (2005), no. 5, 771-777. pdf
17 On limiting embeddings of Besov spaces V.I. Kolyada Studia Math., 171 (2005)
no. 1, 1-13.		 pdf
16 Commutators of singular integrals on generalized Lp spaces
with variable exponent 		A. Karlovich Publ. Mat., 49 (2005)
no. 1, 111-125.		 pdf
15 On multidimensional F. Riesz's "Rising Sun" Lemma A.A. Korenovskyy
A.M. Stokolos		 Proc. Amer. Math. Soc., 133 (2005), no. 5, 1437-1440. pdf
14 Weighted rearrangement inequalities for
local sharp maximal functions		   Trans. Amer. Math. Soc., 357 (2005), no. 6, 2445-2465. pdf
13 Weighted norm inequalities for the
local sharp maximal function		 J. Fourier Anal. Appl., 10 (2004), no. 5, 465-474. pdf
12 On some pointwise inequalities J. Math. Anal. Appl., 289 (2004) no. 1, 248-259. pdf
11 On the John-Strömberg characterization of BMO
for nondoubling measures		 Real Anal. Exch., 28 (2003)
no. 2, 649-660.		 pdf
10 Interpolation properties of a scale of spaces E. Liflyand Collect. Math., 54 (2003)
no. 2, 153-161.		 pdf
9 On some pointwise inequalities concerning tent
spaces and sharp maximal functions		   Pacific J. Math., 209 (2003)
no. 2, 303-319.		 pdf
8 On pointwise estimates for the Littlewood-Paley operators Proc. Amer. Math. Soc., 131 (2003), no. 5, 1459-1469. pdf
7 A note on the Gurov-Reshetnyak condition A.A. Korenovskyy
A.M. Stokolos		 Math. Res. Lett., 9 (2002)
no. 5-6, 579-585.		 pdf
6 Rearrangement estimates of the area integrals   Colloq. Math., 91 (2002)
no. 1, 1-7.		 pdf
5 On pointwise estimates for maximal and singular integral operators Studia Math., 138 (2000)
no. 3, 285-291.		 pdf
4 On weighted estimates of non-increasing rearrangements

East J. Approx., 4 (1998)
no. 2, 277-290.

pdf
3 Maximal functions with respect to differential
bases measuring mean oscillation		 Anal. Math., 24 (1998)
no. 1, 41-58. 		pdf
2 On estimates for strong maximal functions Izv. Vyssh. Uchebn. Zaved. Mat. (1997), no. 7, 36-48 Translation in Russian Math. (Iz. VUZ) 41 (1997), no. 7, 33-45.  
1 On Hardy-Littlewood and Fefferman-Stein
strong maximal functions		 Mat. Zametki, 60 (1996), no. 3, 458-460 (In Russian). Translation in  Math. Notes 60 (1996), no. 3, 342-343.  


Ph.D. Thesis      

Non-increasing rearrangements and maximal functions measuring mean oscillation
(In Russian. Please e-mail me if you would like a copy.)
Advisor: Professor  V.I. Kolyada

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