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Articles, 8 records found
Articles 8 records found  
1.
46 p, 523.2 KB Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces / Cruz-Uribe, David (University of Alabama. Department of Mathematics) ; Guzmán, O. M. (Universidad Nacional de Colombia. Departamento de Matemáticas)
We extend the theory of weighted norm inequalities on variable Lebesgue spaces to the case of bilinear operators. We introduce a bilinear version of the variable Ap(·) condition and show that it is necessary and sufficient for the bilinear maximal operator to satisfy a weighted norm inequality. [...]
2020 - 10.5565/PUBLMAT6422004
Publicacions matemàtiques, Vol. 64 Núm. 2 (2020) , p. 453-498 (Articles)  
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2.
35 p, 488.5 KB The boundedness of multilinear Calderón-Zygmund operators on weighted and variable Hardy spaces / Cruz-Uribe, David (University of Alabama. Department of Mathematics) ; OFS ; Moen, Kabe (University of Alabama. Department of Mathematics) ; Van Nguyen, Hanh (University of Alabama. Department of Mathematics)
We establish the boundedness of the multilinear Calderon{Zygmund operators from a product of weighted Hardy spaces into a weighted Hardy or Lebesgue space. Our results generalize to the weighted setting results obtained by Grafakos and Kalton [18] and recent work by the third author, Grafakos, Nakamura, and Sawano [20]. [...]
2019 - 10.5565/PUBLMAT6321908
Publicacions matemàtiques, Vol. 63 Núm. 2 (2019) , p. 679-713 (Articles)  
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3.
27 p, 422.2 KB Logarithmic bump conditions for Calderón-Zygmund operators on spaces of homogeneous type / Anderson, Theresa C. (Brown University. Department of Mathematics) ; Cruz-Uribe, David (Trinity College (Hartford, Estats Units d'Amèrica). Department of Mathematics) ; Moen, Kabe (University of Alabama. Department of Mathematics)
We establish two-weight norm inequalities for singular integral operators defined on spaces of homogeneous type. We do so first when the weights satisfy a double bump condition and then when the weights satisfy separated logarithmic bump conditions. [...]
2015 - 10.5565/PUBLMAT_59115_02
Publicacions matemàtiques, Vol. 59 Núm. 1 (2015) , p. 17-43  
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4.
44 p, 543.4 KB Sharp norm inequalities for commutators of classical operators / Cruz-Uribe, David (Trinity College. Department of Mathematics (Hartford, Estats Units)) ; Moen, Kabe (University of Alabama. Department of Mathematics)
We prove several sharp weighted norm inequalities for commutators of classical operators in harmonic analysis. We found suffcient Ap-bump conditions on pairs of weights (u; v) such that [b; T], b 2 BMO and T a singular integral operator (such as the Hilbert or Riesz transforms), maps Lp(v) into Lp(u). [...]
2012 - 10.5565/PUBLMAT_56112_06
Publicacions matemàtiques, Vol. 56, Núm. 1 ( 2012) , p. 147-190  
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5.
19 p, 186.6 KB Convergence in variable Lebesgue spaces / Cruz-Uribe, David (Trinity College (Estats Units d'Amèrica). Department of Mathematics) ; Fiorenza, Alberto (Università di Napoli. Dipartimento di Costruzioni e Metodi Matematici in Architettura) ; Istituto per le Applicazioni del Calcolo "Mauro Picone". Napoli Consiglio Nazionale delle Ricerche
We consider the relationship in the variable Lebesgue space Lp(·)(Ω) between convergence in norm, convergence in modular, and convergence in measure, for both bounded and unbounded exponent functions.
2010 - 10.5565/PUBLMAT_54210_08
Publicacions matemàtiques, Vol. 54, Núm. 2 (2010) , p. 441-459  
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6.
25 p, 230.6 KB Weighted norm inequalities for the geometric maximal operator / Cruz-Uribe, David (Trinity College. Department of Mathematics) ; Neugebauer, C. J. (Purdue University. Department of Mathematics)
We consider two closely related but distinct operators,This extends the work of X. Shi; H. Wei, S. Xianliang and S. Qiyu; X. Yin and B. Muckenhoupt; and C. Sbordone and I. Wik. F I W e give sufficient conditions for the two operators to be equal and show that these conditions are sharp. [...]
1998 - 10.5565/PUBLMAT_42198_13
Publicacions matemàtiques, V. 42 n. 1 (1998) p. 239-263  
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7.
28 p, 215.1 KB Norm inequalities for the minimal and maximal operator, and differentiation of the integral / Cruz-Uribe, David ; Neugebauer, C. J. ; Olesen, V. ; SFO
We study the weighted norm inequalities for the minimal operator, a new operator analogous to the Hardy-Littlewood maximal operator which arose in the study of reverse Hölder inequalities. We characterize the classes of weights which govern the strong and weak-type norm inequalities for the minimal operator in the two weight case, and show that these classes are the same. [...]
1997 - 10.5565/PUBLMAT_41297_20
Publicacions matemàtiques, V. 41 n. 2 (1997) p. 577-604  
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8.
29 p, 243.3 KB Endpoint estimates and weighted norm inequalities for commutators of fractional integrals / Cruz-Uribe, David (Trinity College. Department of Mathematics) ; Fiorenza, Alberto (Universitá di Napoli. Dipartimento di Costruzioni e Metodi Matematici in Architettura)
We prove that the commutator [b, Iα], b ∈ BMO, Iα the fractional integral operator, satisfies the sharp, modular weak-type inequality f(x) tdx, where B(t) = tlog(e + t) and Ψ(t)=[tlog(e + tα/n)]n/(n−α). [...]
2003 - 10.5565/PUBLMAT_47103_05
Publicacions matemàtiques, V. 47 N. 1 (2003) , p. 103-131  
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See also: similar author names
1 Cruz-Uribe, D.
1 Cruz-Uribe, D.
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