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Results overview:
Found
9
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Articles
9
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1.
14 p, 535.0 KB
Beltrami equations in the plane and Sobolev regularity
/
Prats, Martí
(Universitat Autònoma de Barcelona. Departament de Matemàtiques)
New results regarding the Sobolev regularity of the principal solution of the linear Beltrami equation (formula presented) Bf for discontinuous Beltrami coefficients μ and v are obtained, using Kato-Ponce commutators, obtaining that Bf belongs to a Sobolev space with the same smoothness as the coefficients but some loss in the integrability parameter. [...]
2018 -
10.3934/cpaa.2018018
Communications on Pure and Applied Analysis
,
Vol. 17, Issue 2 (March 2018)
, p. 319-332
Detailed record
-
2.
13 p, 312.4 KB
Commutators for fourier multipliers on Besov spaces
/
Cerdà Martín, Joan Lluís
(Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ;
Martín i Pedret, Joaquim
(Universitat Autònoma de Barcelona. Departament de Matemàtiques)
If T is any bounded linear operator on Besov spaces Bpσj,qj(Rn)(j=0,1, and 0<σ1<σ<σ0), it is proved that the commutator [T,Tμ]=TTμ -TμT is bounded on Bpσ,q (Rn), if Tμ is a Fourier multiplier such that μ is any (possibly unbounded) symbol with uniformly bounded variation on dyadic coronas.
2004 -
10.1016/j.jat.2004.03.007
Journal of approximation theory
,
Vol. 129, Issue 2 (August 2004)
, p. 119-128
Detailed record
-
3.
21 p, 439.0 KB
Genus bounds in right-angled Artin groups
/
Forester, Max
(University of Oklahoma. Department of Mathematics) ;
Soroko, Ignat
(Louisiana State University. Department of Mathematics) ;
Tao, Jing
(University of Oklahoma. Department of Mathematics)
We show that, in any right-angled Artin group whose defining graph has chromatic number k, every non-trivial element has stable commutator length at least 1/(6k). Secondly, if the defining graph does not contain triangles, then every non-trivial element has stable commutator length at least 1/20. [...]
2020 -
10.5565/PUBLMAT6412010
Publicacions matemàtiques
,
Vol. 64 Núm. 1 (2020)
, p. 233-253
Detailed record
-
4.
14 p, 159.1 KB
Operator valued BMO and commutators
/
Blasco de la Cruz, Oscar
(Universitat de València. Departament de Matemàtiques)
If E is a Banach space, b ∈ BMO(Rn, L(E) and T is a L(E)-valued Calderón-Zygmund type operator with operator-valued kernel k, we show the boundedness of the commutator Tb(f) = bT(f) − T(bf) on Lp(Rn,E) for 1 < p < ∞ whenever b and k verify some commuting properties. [...]
2009 -
10.5565/PUBLMAT_53109_10
Publicacions matemàtiques
,
V. 53 n. 1 (2009)
p. 231-244
Detailed record
-
5.
17 p, 162.1 KB
Boundary regularity of admissible operators
/
Lampert, Christoph H.
In strictly pseudoconvex domains with smooth boundary, we prove a commutator relationship between admissible integral operators, as introduced by Lieb and Range, and smooth vector fields which are tangential at boundary points. [...]
2005 -
10.5565/PUBLMAT_49105_08
Publicacions matemàtiques
,
V. 49 N. 1 (2005)
, p. 179-195
Detailed record
-
6.
15 p, 167.6 KB
Commutators of singular integrals on generalized Lp spaces with variable exponent
/
Karlovich, Alexei Yu.
;
Lerner, Andrei K.
A classical theorem of Coifman, Rochberg, and Weiss on commutators of singular integrals is extended to the case of generalized Lp spaces with variable exponent.
2005 -
10.5565/PUBLMAT_49105_05
Publicacions matemàtiques
,
V. 49 N. 1 (2005)
, p. 111-125
Detailed record
-
7.
34 p, 225.9 KB
Multilinear commutators for fractional integrals in non-homogeneous spaces
/
Guoen, Hu
;
Yan, Meng
;
Dachung, Yang
Under the assumption that µ is a non-doubling measure on Rd, the authors obtain the (Lp, Lq)-boundedness and the weak type endpoint estimate for the multilinear commutators generated by fractional integrals with RBMO(µ) functions of Tolsa or with Oscexp Lr (µ) functions for r ≥ 1, where Oscexp Lr (µ) is a space of Orlicz type satisfying that Oscexp Lr (µ) = RBMO(µ) if r = 1 and Oscexp Lr (µ) ⊂ RBMO(µ) if r >.
2004 -
10.5565/PUBLMAT_48204_03
Publicacions matemàtiques
,
V. 48 N. 2 (2004)
, p. 335-367
Detailed record
-
8.
25 p, 212.5 KB
Continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator
/
Liu, Zongguang
;
Lu, Guozhen
;
Lu, Shanzhen
In this paper, we obtain some strong and weak type continuity properties for the maximal operator associated with the commutator of the Bochner-Riesz operator on Hardy spaces, Hardy type spaces and weak Hardy type spaces.
2003 -
10.5565/PUBLMAT_47103_03
Publicacions matemàtiques
,
V. 47 N. 1 (2003)
, p. 45-69
Detailed record
-
9.
17 p, 181.6 KB
Boundedness of sublinear operators on the homogeneous Herz spaces
/
Hu, Guoen
Some boundedness results are established for sublinear operators on the homogeneous Herz spaces. As applications, some new theorems about the boundedness on homogeneous Herz spaces for commutators of singular integral operators are obtained.
2003 -
10.5565/PUBLMAT_47103_07
Publicacions matemàtiques
,
V. 47 N. 1 (2003)
, p. 143-159
Detailed record
-
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