Projects per year
Abstract
Let (Formula presented.) be a metric measure space endowed with a distance (Formula presented.) and a nonnegative Borel doubling measure (Formula presented.). Let (Formula presented.) be a second-order non-negative self-adjoint operator on (Formula presented.). Assume that the semigroup (Formula presented.) generated by (Formula presented.) satisfies Gaussian upper bounds. In this article we establish a discrete characterization of weighted Hardy spaces (Formula presented.) associated with (Formula presented.) in terms of the area function characterization, and prove its weighted atomic decomposition, where (Formula presented.) and a weight (Formula presented.) is in the Muckenhoupt class (Formula presented.). Further, we introduce a Moser type estimate for (Formula presented.) to show the discrete characterization for the weighted Hardy spaces (Formula presented.) associated with (Formula presented.) in terms of the Littlewood–Paley function and obtain the equivalence between the weighted Hardy spaces in terms of the Littlewood–Paley function and area function.
Original language | English |
---|---|
Pages (from-to) | 1617-1646 |
Number of pages | 30 |
Journal | Journal of Geometric Analysis |
Volume | 26 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Apr 2016 |
Fingerprint Dive into the research topics of 'A Littlewood–Paley Type Decomposition and Weighted Hardy Spaces Associated with Operators'. Together they form a unique fingerprint.
Projects
- 1 Finished
-
Harmonic analysis: Function spaces and singular integral operators
13/02/12 → 31/12/17
Project: Research