Carro, María J. - Search Results - UAB Digital Repository of Documents

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Articles, 6 records found Books and collections, 1 records found

Articles	6 records found

26 p, 395.3 KB

Functional properties of rearrangement invariant spaces defined in terms of oscillations / Carro, María J. (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Gogatishvili, Amiran (Czech Academy of Sciences. Mathematical Institute) ; Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Pick, Luboš (Charles University. Department of Mathematical Analysis)
Function spaces whose definition involves the quantity f** - f*, which measures the oscillation of f*, have recently attracted plenty of interest and proved to have many applications in various, quite diverse fields. [...]
2005 - DOI (Digital Object Identifier)

10.1016/j.jfa.2005.06.012
Journal of Functional Analysis, Vol. 229, Issue 2 (December 2005) , p. 375-404

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22 p, 344.2 KB

Endpoint estimates from restricted rearrangement inequalities / Carro, María J. (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Martín i Pedret, Joaquim (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Let T be a sublinear operator such that (Tf)*(t) ≤ h(t,∥f∥ 1 ) for some positive function h(t, s) and every function / such that ∥f∥ ∞ ≤ 1. Then, we show that T can be extended continuously from a logarithmic type space into a weighted weak Lorentz space. [...]
2004 - DOI (Digital Object Identifier)

10.4171/RMI/383
Revista Matemática Iberoamericana, Vol. 20, Núm. 1 (2004) , p. 131-150

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8 p, 284.0 KB

A useful estimate for the decreasing rearrangement of the sum of functions / Carro, María J. (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Martín i Pedret, Joaquim (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
Given f=∑n∈Nfn, where {fn}n are measurable functions, we show that f*(3t)≤∑n(fn*(t)+1/t∫cnttfn*(s)ds), where {cn}n∈N are positive numbers such that ∑ncn=1. Several consequences in the setting of weighted Lorentz spaces are also given.
2004 - DOI (Digital Object Identifier)

10.1093/qmath/hag032
The Quarterly Journal of Mathematics, Vol. 55, Issue 1 (March 2004) , p. 41-45

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26 p, 361.3 KB

Extrapolation theory for the real interpolation method / Carro, María J. (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Martín i Pedret, Joaquim (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Ω.
2002
Collectanea mathematica, Vol. 53, Issue 2 (2002) , p. 165-186

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11 p, 227.4 KB

On the range space of Yano's extrapolation theorem and new extrapolation estimates at infinity / Carro, María J. (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
Given a sublinear operator T satisfying that T f Lp (ν) ≤ C p−1 f Lp (µ), for every 1 < p ≤ p0, with C independent of f and p, it was proved in [C] that ∞ λν f (y) dy T 1/r sup |f (x)|(1 + log+ |f (x)|) dµ(x). [...]
2002 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_Esco02_02
Publicacions matemàtiques, Vol. Extra (2002) , p. 27-37

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13 p, 264.2 KB

Interpolation of families / Carro, María J ; Cerdà Martín, Joan Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
1992 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_362A92_09
Publicacions matemàtiques, Vol. 36, Núm. 2 (1992) , p. 449-461

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Books and collections	1 records found

10 p, 409.6 KB

On embedding properties of some extrapolation spaces / Martín i Pedret, Joaquim (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi) ; Carro, María J. (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
Given a sublinear operator T satisfying that ‖Tf‖Lp(ν) ≤ Cp−1‖f‖Lp(μ), for every 1 < p ≤ p0, with C independent of f and p, it has been recently proved that T : LlogL → M(φ), where M(φ) is the maximal Lorentz space with φ(t) = t(1 + log + t)−1. [...]
New York : De Gruyter, 2002 (De Gruyter Proceedings in Mathematics) - DOI (Digital Object Identifier)

10.1515/9783110198058.241
Function spaces, interpolation theory and related topics: Proceedings of the International Conference in honour of Jaak Peetre on his 65th birthday, 2002, p. 241-248

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See also: similar author names
1	Carro, M.D.
1	Carro, María
1	Carro, María J

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