On the best ranges for $A^+_p$ and $RH_r^+$

María Silvina Riveros; A. de la Torre

On the best ranges for $A_{p}^{+}$ and $R H_{r}^{+}$

María Silvina Riveros; A. de la Torre

Czechoslovak Mathematical Journal (2001)

Volume: 51, Issue: 2, page 285-301
ISSN: 0011-4642

Access Full Article

top

Access to full text

Full (PDF)

Abstract

top

In this paper we study the relationship between one-sided reverse Hölder classes

R H_{r}^{+}

and the

A_{p}^{+}

classes. We find the best possible range of

R H_{r}^{+}

to which an

A_{1}^{+}

weight belongs, in terms of the

A_{1}^{+}

constant. Conversely, we also find the best range of

A_{p}^{+}

to which a

R H_{\infty}^{+}

weight belongs, in terms of the

R H_{\infty}^{+}

constant. Similar problems for

A_{p}^{+}

,

1 < p < \infty

and

R H_{r}^{+}

,

1 < r < \infty

are solved using factorization.

How to cite

top

MLA
BibTeX
RIS

Riveros, María Silvina, and Torre, A. de la. "On the best ranges for $A^+_p$ and $RH_r^+$." Czechoslovak Mathematical Journal 51.2 (2001): 285-301. <http://eudml.org/doc/30635>.

@article{Riveros2001,
abstract = {In this paper we study the relationship between one-sided reverse Hölder classes $RH_r^+$ and the $A_p^+$ classes. We find the best possible range of $RH_r^+$ to which an $A_1^+$ weight belongs, in terms of the $A_1^+$ constant. Conversely, we also find the best range of $A_p^+$ to which a $RH_\infty ^+$ weight belongs, in terms of the $RH_\infty ^+$ constant. Similar problems for $A_p^+$, $1<p<\infty $ and $RH_r^+$, $1<r<\infty $ are solved using factorization.},
author = {Riveros, María Silvina, Torre, A. de la},
journal = {Czechoslovak Mathematical Journal},
keywords = {one-sided weights; one-sided reverse Hölder; factorization; one-sided weights; one-sided reverse Hölder classes; factorization},
language = {eng},
number = {2},
pages = {285-301},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the best ranges for $A^+_p$ and $RH_r^+$},
url = {http://eudml.org/doc/30635},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Riveros, María Silvina
AU - Torre, A. de la
TI - On the best ranges for $A^+_p$ and $RH_r^+$
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 2
SP - 285
EP - 301
AB - In this paper we study the relationship between one-sided reverse Hölder classes $RH_r^+$ and the $A_p^+$ classes. We find the best possible range of $RH_r^+$ to which an $A_1^+$ weight belongs, in terms of the $A_1^+$ constant. Conversely, we also find the best range of $A_p^+$ to which a $RH_\infty ^+$ weight belongs, in terms of the $RH_\infty ^+$ constant. Similar problems for $A_p^+$, $1<p<\infty $ and $RH_r^+$, $1<r<\infty $ are solved using factorization.
LA - eng
KW - one-sided weights; one-sided reverse Hölder; factorization; one-sided weights; one-sided reverse Hölder classes; factorization
UR - http://eudml.org/doc/30635
ER -

References

top

10.1090/S0002-9939-97-03787-8, Proc. Amer. Math. Soc. 125 (1997), 2057–2064. (1997) MR1376747 DOI10.1090/S0002-9939-97-03787-8
The structure of reverse Hölder classes, Trans. Amer. Math. Soc. 347 (1995), 2941–2960. (1995) MR1308005
10.4064/sm-116-3-255-270, Stud. Math 116 (1995), 255–270. (1995) MR1360706 DOI10.4064/sm-116-3-255-270
10.2307/2946618, Anal. of Mathematics, Second Series 157 (1) (1993), 1–70. (1993) MR1200076 DOI10.2307/2946618
10.1090/S0002-9939-1993-1111435-2, Proc. Amer. Math. Soc. 117, 691–698. MR1111435 DOI10.1090/S0002-9939-1993-1111435-2
10.1090/S0002-9947-1990-0986694-9, Trans. Amer. Math. Soc. 319 (2) (1990), 517–534. (1990) MR0986694 DOI10.1090/S0002-9947-1990-0986694-9
$A_{\infty}^{+}$ condition, Canad. J. Math. 45 (6) (1993), 1231–1244. (1993) MR1247544
The precise range of indices for the $R H_{r}$ and $A_{p}$ weight classes, Preprint (), .
10.1090/S0002-9947-1986-0849466-0, Trans. Amer. Math. Soc. 297 (1986), 53–61. (1986) MR0849466 DOI10.1090/S0002-9947-1986-0849466-0

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Language to use for this widget.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Number of notes per page

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.