supported by the NSFC(12071437);the National Key R&D Program of China(2022YFA1005700).
Combining TT* argument and bilinear interpolation,this paper obtains the Strichartz and smoothing estimates of dispersive semigroup e^(-itP(D)) in weighted L^(2) spaces.Among other things,we recover the results in[1]....
Supported by the Young Scientist Program of the Ministry of Science and Technology of China(Grant No.2021Y-FA1002200);the National Natural Science Foundation of China(Grant No.12101362);the Tai-Shan Scholar Program and the Natural Science Foundation of Shandong Province(Grant Nos.ZR2022YQ01,ZR2021QA003)。
In this short note,we establish a sharp Morrey regularity theory for an even order elliptic system of Rivière type:△^(m)u=∑_(t=0)^(m-1)△^(l)+∑_(t=0)^(m-2)△^(l)δ(ω_(l)du)+f in B^(2m)under minimal regular...
partially supported by the German Research Foundation(DFG)(Grant No.Ha 2794/8-1);supported by the China Scholarship Council(CSC)(Grant No.202006350058);partially supported by the Center for Mathematics of the University of Coimbra(funded by the Portuguese Government through FCT/MCTES,DOI 10.54499/UIDB/00324/2020)。
We study embeddings between generalised Triebel–Lizorkin–Morrey spacesε_(ϕ,p,q)^(s)(R^(d))and within the scales of further generalised Morrey smoothness spaces like N_(ϕ,p,q)^(s)(R^(d)),B_(p,q)^(s,ϕ)(R^(d))and F_(p...
supported by Japan Society for the Promotion of Science(Grant No.23K03156)。
This paper is an offspring of the previous study on Herz spaces.A new characterization of Morrey–Herz spaces is given.As applications,the boundedness of various operators is obtained.For example,higher-order commutat...
In this paper,we introduce the weighted multilinear p-adic Hardy operator and weighted multilinear p-adic Ces`aro operator,we also obtain the boundedness of these two operators on the product of p-adic Herz spaces and...
supported by the National Natural Science Foundation of China(12271296,12271195).
This paper is a continuation of recent work by Guo-Xiang-Zheng[10].We deduce the sharp Morrey regularity theory for weak solutions to the fourth order nonhomogeneous Lamm-Rivière equation △^{2}u=△(V▽u)+div(w▽u)+...