Interpolation inequalities between Lorentz space and BMO: the endpoint case (L^1∞, BMO)
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Date
2019-05-03
Authors
Dao, Nguyen Anh
Hanh, Nguyen Thi Ngoc
Hieu, Tran Minh
Nguyen, Huy Bac
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We prove interpolation inequalities by means of the Lorentz norm, BMO norm, and the fractional Sobolev norm. In particular, we obtain an interpolation inequality for (L1∞, BMO), that we call the endpoint case.
Description
Keywords
Gagliardo-Nirenberg inequality, Lorentz spaces, BMO space, Fractional Sobolev spaces
Citation
Dao, N. A., Hanh, N. T. N., Hieu, T. M., & Nguyen, H. B. (2019). Interpolation inequalities between Lorentz space and BMO: the endpoint case (L^1∞, BMO). <i>Electronic Journal of Differential Equations, 2019</i>(56), pp. 1-4.
Rights
Attribution 4.0 International