Sharp weights and BMO-preserving homeomorphisms
Steven Bloom (1990)
Studia Mathematica
Similarity:
Steven Bloom (1990)
Studia Mathematica
Similarity:
Richard Wheeden (1979)
Banach Center Publications
Similarity:
Benjamin Muckenhoupt, Richard Wheeden (1978)
Studia Mathematica
Similarity:
Steven Bloom (1990)
Studia Mathematica
Similarity:
Eiichi Nakai (1997)
Studia Mathematica
Similarity:
Let E and F be spaces of real- or complex-valued functions defined on a set X. A real- or complex-valued function g defined on X is called a pointwise multiplier from E to F if the pointwise product fg belongs to F for each f ∈ E. We denote by PWM(E,F) the set of all pointwise multipliers from E to F. Let X be a space of homogeneous type in the sense of Coifman-Weiss. For 1 ≤ p < ∞ and for , we denote by the set of all functions such that , where B(a,r) is the ball centered...
Sergei Kisliakov, Quanhua Xu (2000)
Studia Mathematica
Similarity:
Let 1 ≤ p ≤ ∞ and let be two weights on the unit circle such that . We prove that the couple of weighted Hardy spaces is a partial retract of . This completes previous work of the authors. More generally, we have a similar result for finite families of weighted Hardy spaces. We include some applications to interpolation.
Donald Krug, Alberto Torchinsky (1994)
Revista Matemática Iberoamericana
Similarity:
In this paper we discuss a weighted version of Journé's covering lemma, a substitution for Whitney decomposition of an open set in R where squares are replaced by rectangles. We then apply this result to obtain a sharp version of the atomic decomposition of the weighted Hardy spaces H (R x R ) and a description of their duals when p is close to 1.
Michael Christ (1984)
Studia Mathematica
Similarity:
Akihito Uchiyama (1995)
Studia Mathematica
Similarity:
We prove that , where is the dyadic square function, is the k-fold application of the dyadic Hardy-Littlewood maximal function and p > 2.
David Cruz-Uribe, Carlos Pérez (2002)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
We give type conditions which are sufficient for two-weight, strong inequalities for Calderón-Zygmund operators, commutators, and the Littlewood-Paley square function . Our results extend earlier work on weak inequalities in [13].