Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Criteria of General Weak Type Inequalities for Integral Transforms with Positive Kernels

Criteria of General Weak Type Inequalities for Integral Transforms with Positive Kernels Necessary and sufficient conditions are derived in order that an inequality of the form be fulfilled for some positive c independent of ॕ and a ν -measurable nonnegative function ƒ : X → R 1 , where k : X × X × 0, ∞) → R 1 is a nonnegative measurable kernel, ( X, d, μ ) is a homogeneous type space, ०॑ and २ are quasiconvex functions, २ ∈ Δ 2 , and t – α θ ( t ) is a decreasing function for some α , 0 < α < 1. A similar problem was solved in Lorentz spaces with weights. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Georgian Mathematical Journal de Gruyter

Criteria of General Weak Type Inequalities for Integral Transforms with Positive Kernels

Loading next page...
 
/lp/de-gruyter/criteria-of-general-weak-type-inequalities-for-integral-transforms-owB67rrTXS

References

References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.

Publisher
de Gruyter
Copyright
Copyright ? 1994 Walter de Gruyter All rights reserved
ISSN
1072-947X
eISSN
1072-9176
DOI
10.1515/GMJ.1994.9
Publisher site
See Article on Publisher Site

Abstract

Necessary and sufficient conditions are derived in order that an inequality of the form be fulfilled for some positive c independent of ॕ and a ν -measurable nonnegative function ƒ : X → R 1 , where k : X × X × 0, ∞) → R 1 is a nonnegative measurable kernel, ( X, d, μ ) is a homogeneous type space, ०॑ and २ are quasiconvex functions, २ ∈ Δ 2 , and t – α θ ( t ) is a decreasing function for some α , 0 < α < 1. A similar problem was solved in Lorentz spaces with weights.

Journal

Georgian Mathematical Journalde Gruyter

Published: Feb 1, 1994

There are no references for this article.