All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 51 Next

Displaying 1001 – 1020 of 4028

Showing per page

Equivalent quasi-norms and atomic decomposition of weak Triebel-Lizorkin spaces

Wenchang Li, Jingshi Xu (2017)

Czechoslovak Mathematical Journal

Recently, the weak Triebel-Lizorkin space was introduced by Grafakos and He, which includes the standard Triebel-Lizorkin space as a subset. The latter has a wide applications in aspects of analysis. In this paper, the authors firstly give equivalent quasi-norms of weak Triebel-Lizorkin spaces in terms of Peetre's maximal functions. As an application of those equivalent quasi-norms, an atomic decomposition of weak Triebel-Lizorkin spaces is given.

Espaces BMO, inégalités de Paley et multiplicateurs idempotents

Hubert Lelièvre (1997)

Studia Mathematica

Generalizing the classical BMO spaces defined on the unit circle with vector or scalar values, we define the spaces B M O ψ q ( ) and B M O ψ q ( , B ) , where ψ q ( x ) = e x q - 1 for x ≥ 0 and q ∈ [1,∞[, and where B is a Banach space. Note that B M O ψ 1 ( ) = B M O ( ) and B M O ψ 1 ( , B ) = B M O ( , B ) by the John-Nirenberg theorem. Firstly, we study a generalization of the classical Paley inequality and improve the Blasco-Pełczyński theorem in the vector case. Secondly, we compute the idempotent multipliers of B M O ψ q ( ) . Pisier conjectured that the supports of idempotent multipliers of L ψ q ( ) form a Boolean...

Currently displaying 1001 – 1020 of 4028