# On sharp reiteration theorems and weighted norm inequalities

Jesús Bastero; Mario Milman; Francisco Ruiz

Studia Mathematica (2000)

- Volume: 142, Issue: 1, page 7-24
- ISSN: 0039-3223

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topBastero, Jesús, Milman, Mario, and Ruiz, Francisco. "On sharp reiteration theorems and weighted norm inequalities." Studia Mathematica 142.1 (2000): 7-24. <http://eudml.org/doc/216791>.

@article{Bastero2000,

abstract = {We prove sharp end forms of Holmstedt's reiteration theorem which are closely connected with a general form of Gehring's Lemma. Reverse type conditions for the Hardy-Littlewood-Pólya order are considered and the maximal elements are shown to satisfy generalized Gehring conditions. The methods we use are elementary and based on variants of reverse Hardy inequalities for monotone functions.},

author = {Bastero, Jesús, Milman, Mario, Ruiz, Francisco},

journal = {Studia Mathematica},

keywords = {reiteration; weights; Hardy inequality; Holmsted's reiteration formula; reverse Hölder inequalities; weighted norm inequalities},

language = {eng},

number = {1},

pages = {7-24},

title = {On sharp reiteration theorems and weighted norm inequalities},

url = {http://eudml.org/doc/216791},

volume = {142},

year = {2000},

}

TY - JOUR

AU - Bastero, Jesús

AU - Milman, Mario

AU - Ruiz, Francisco

TI - On sharp reiteration theorems and weighted norm inequalities

JO - Studia Mathematica

PY - 2000

VL - 142

IS - 1

SP - 7

EP - 24

AB - We prove sharp end forms of Holmstedt's reiteration theorem which are closely connected with a general form of Gehring's Lemma. Reverse type conditions for the Hardy-Littlewood-Pólya order are considered and the maximal elements are shown to satisfy generalized Gehring conditions. The methods we use are elementary and based on variants of reverse Hardy inequalities for monotone functions.

LA - eng

KW - reiteration; weights; Hardy inequality; Holmsted's reiteration formula; reverse Hölder inequalities; weighted norm inequalities

UR - http://eudml.org/doc/216791

ER -

## References

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