The two weight problem for operators in the upper half-plane

Luz M. Fernández-Cabrera; José L. Torrea

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1993)

  • Volume: 20, Issue: 4, page 545-574
  • ISSN: 0391-173X

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Fernández-Cabrera, Luz M., and Torrea, José L.. "The two weight problem for operators in the upper half-plane." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 20.4 (1993): 545-574. <http://eudml.org/doc/84160>.

@article{Fernández1993,
author = {Fernández-Cabrera, Luz M., Torrea, José L.},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
keywords = {two-weight problem; linear operator; Poisson type operators; maximal functions},
language = {eng},
number = {4},
pages = {545-574},
publisher = {Scuola normale superiore},
title = {The two weight problem for operators in the upper half-plane},
url = {http://eudml.org/doc/84160},
volume = {20},
year = {1993},
}

TY - JOUR
AU - Fernández-Cabrera, Luz M.
AU - Torrea, José L.
TI - The two weight problem for operators in the upper half-plane
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1993
PB - Scuola normale superiore
VL - 20
IS - 4
SP - 545
EP - 574
LA - eng
KW - two-weight problem; linear operator; Poisson type operators; maximal functions
UR - http://eudml.org/doc/84160
ER -

References

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  7. [GC-M-T] J. Garcia-Cuerva - R.A. Macias - J.L. Torrea, The Hardy-Littlewood property of Banach Lattices. To appear in Israel J. Math. Zbl0812.46008MR1239721
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  9. [G-G] A.E. Gatto - C.E. Gutierrez, On weighted norm inequalities for the maximal function. Studia Math.76 (1983), 59-62. Zbl0536.42021MR728196
  10. [H-M-S] E. Harboure - R.A. Macias - C. Segovia, Boundedness of fractional operators on Lp spaces with different weights. Trans. Amer. Math. Soc.285 (1984), 629-647. Zbl0564.42010MR752495
  11. [J] R. Johnson, Application of Carleson measures to partial differential equations and Fourier multiplier problems. Lectures Notes in Mathematics, n. 992, Springer-Verlag1983, 16-72. Zbl0533.42010MR729345
  12. [K] P. Koosis, Moyennes quadratiques pondérées de fonctions périodiques et de leurs conjuguées harmoniques. C.R. Acad. Sci. Paris Sér. I Math.291 (1980), 255-259. Zbl0454.42009MR591744
  13. [L-T] J. Lindenstrauss - L. Tzafriri, Classical Banach spaces II. Function spaces. Springer-Verlag, Berlin, 1979. Zbl0403.46022MR540367
  14. [R-T] F.J. Ruiz - J.L. Torrea, Weighted and vector-valued inequalities for potential operators. Trans. Amer. Math. Soc.295 (1986), 213-232. Zbl0594.42014MR831197

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