We prove that bilinear fractional integral operators and similar multipliers are smoothing in
the sense that they improve the regularity of functions. We also treat bilinear singular …

We establish Leibniz type rules for bilinear flag multipliers with limited regularity in the
Lebesgue spaces with flag weights. As applications, we obtain flag fractional Leibniz rules …

We establish Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with
limited Sobolev regularity. Applications of our result are given including the biparameter …

We provide new characterizations of the $ BMO $-Sobolev space $ I_ {\alpha}(BMO) $ for
the range $0<\alpha< 2$. When $0<\alpha< 1$, our characterizations are in terms of square …

The purpose of this paper is three-fold: the first is to determine the Campanato-Sobolev
space IN (L p, κ) by means of∑| α|= N‖ D α f‖ L p, κ-the sum of the Campanato norms of …

Nesta tese, trataremos de dois problemas. Primeiramente, usando uma técnica baseada em
métodos de energia, fornecemos um estudo rigoroso sobre resultados de existência global …

In this article, we conduct a study of integral operators defined in terms of non-convolution
type kernels with singularities of various degrees. The operators that fall within our scope of …

Leibniz-Type Rules for Bilinear Fourier Multiplier Operators with Besov Regularity |
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Suppose that T is a linear operator, continuous from S (Schwartz class) into S (tempered
distributions), and let ν∈ R, M≥ 0 be an integer, 0< γ≤ 1 and DM the space of smooth …