University of Isfahan Mathematics and Society 2345-6493 1 3 2016 11 21 What is a paraproduct? What is a paraproduct? 7 12 7546 10.22108/msci.2016.7546 FA Mozhdeh Shirani University of Isfahan Journal Article 2014 04 08 The concept of 'Paraproduct' emerged in the development of Paradifferential operators. This theory itself is a pivotal point in the theory of Beyond Pseudodifferential operators, with the Paraproduct expected to possess properties far beyond those of regular multiplication. Since their inception in 1965, Paraproducts have played a central role in the analysis and partial differential equations. These concepts are related to the theory of two-parameter Calderón-Zygmund theory and form the foundation for many other bilinear operators. Notable applications of these concepts include the well-known theorems such as T1 and Tb theorems, boundedness of Calderón commutator, the Hilbert bilinear transform, theories of pointwise multipliers in function spaces, the theory of corrected compressibility. The concept of 'Paraproduct' emerged in the development of Paradifferential operators. This theory itself is a pivotal point in the theory of Beyond Pseudodifferential operators, with the Paraproduct expected to possess properties far beyond those of regular multiplication. Since their inception in 1965, Paraproducts have played a central role in the analysis and partial differential equations. These concepts are related to the theory of two-parameter Calderón-Zygmund theory and form the foundation for many other bilinear operators. Notable applications of these concepts include the well-known theorems such as T1 and Tb theorems, boundedness of Calderón commutator, the Hilbert bilinear transform, theories of pointwise multipliers in function spaces, the theory of corrected compressibility. https://math-sci.ui.ac.ir/article_7546_547b9407e09ece5c73111b511f320528.pdf