Reaserch Division of Analysis and Geometry, Mathematics and Natural Science Faculty, Institut Teknologi Bandung
1pebrudal@gmail.com, 2wono@math.itb.ac.id, 3yudish@math.itb.ac.id
Abstract
Littlewood-Paley-Stein (LPS) operator is operator that maps a function to square function associated with a function ψ, that is . Littlewood-Paley established a sufficient condition for boundedness of LPS operator in classical Lebesgue Space. The condition is expressed in term of bound for sum |ψ| + |∇ψ|. In this article, we investigate and prove boundednesss of LPS operator with a generalized version for the bound from the original version.
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References
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Cite this paper as:
Zanu P, Budhi W S and Soeharyadi Y 2019 Boundedness of Littlewood-Paley-Stein (LPS) Operator in Lebesgue Space with an Improved Sufficient Condition Proc. Int. Conf. on Mathematical Analysis, Its Applications and Learning (15 September 2018, Yogyakarta) ed B Utomo (Yogyakarta: Sanata Dharma University Press) pp 111–115