Year: 2013
Type: article
Abstract: A function space, Lθ,∞)(Ω) , 0≤θ<∞ , is defined. It is proved that Lθ,∞)(Ω) is a Banach space which is a generalization of exponential class. An alternative definition of Lθ,∞)(Ω) space is given. As an application, we obtain weak monotonicity property for very weak solutions of 𝒜 -harmonic equation with variable coefficients under some suitable conditions related to Lθ,∞)(Ω) , which provides a generalization of a known result due to Moscariello. A weighted space Lwθ,∞)(Ω) is also defined, and the boundedness for the Hardy-Littlewood maximal operator Mw and a Calderón-Zygmund operator T with respect to Lwθ,∞)(Ω) is obtained.
Source: Abstract and Applied Analysis
DOI: 10.1155/2013/476309
Authors: Hongya Gao, Chao Liu, Hong Tian
Institution: Hebei University
Language: Latvian
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,130
Award: G1670715957
OpenAlex ID: W1996661117