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Limiting weak-type behaviors for factional maximal operators and fractional integrals with rough kernel
Guoping Zhao, Weichao Guo
By a reduction method, the limiting weak-type behaviors of factional maximal operators and fractional integrals are established without any smoothness assumption on the kernel, whi…
On relatively compact sets in quasi-Banach function spaces
Weichao Guo, Guoping Zhao
This paper is devoted to the study of the relatively compact sets in Quasi-Banach function spaces, providing an important improvement of the known results. As an application, we ta…
Unimodular multipliers on -modulation spaces: A revisit with new method under weaker conditions
Guoping Zhao, Weichao Guo
By a new method derived from Nicola--Primo--Tabacco[24], we study the boundedness on -modulation spaces of unimodular multipliers with symbol . Comparing with the pre…
Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spaces
Weichao Guo, Guoping Zhao
We study the boundedness on the Wiener amalgam spaces of Fourier multipliers with symbols of the type , for some real-valued functions whose prototype…