Add to ORKG"Harmonic Analysis and Nonlinear Partial Differential Equations". July 3～5, 2017. edited by Hideo Takaoka and Hideo Kubo. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.We consider Lp-Lq estimates for the spherical harmonic projection operators and obtain sharp bounds on a certain range of p, q. As an application, we provide a proof of off-diagonal Carleman estimates for the Laplacian, which extends the earlier results due to Jerison and Kenig [22], and Stein [34]
AbstractA continuous expansion ƒ(x) = ∝∞∞ ƒλ(x)h(λ)dλ is established for functions or distributions ...
In this paper, we prove that the Bergman projection extends continuously to a projection from harmon...
In this note we are concerned with estimates for the spectral projection operator Pµ associated with...
This thesis deals with three topics in Harmonic Analysis: 1. Sharp restriction theory; 2. Sparse d...
AbstractOn the setting of general bounded smooth domains in Rn, we construct L1-bounded nonorthogona...
AbstractIn this paper we study the (Lp, L2) mapping properties of a spectral projection operator for...
AbstractWe obtain optimal size estimates of the harmonic Bergman kernel and its derivatives on smoot...
As a consequence of integral bounds for three classes of quaternionic spherical harmon-ics, we prove...
We prove a sharp multiplier theorem of Mihlin–Hörmander type for the Grushin operator on the unit sp...
We give a survey of recent works concerning the mapping properties of joint harmonic projection oper...
"Harmonic Analysis and Nonlinear Partial Differential Equations". July 4～6, 2016. edited by Hideo Ku...
The $(k,a)$-generalised Fourier transform is the unitary operator defined using the $a$-deformed Dun...
We prove some sharp L^p-L^2 estimates for joint spectral projections, for p between 1 and 2, assoc...
\begin{abstract} In this paper we address the problem of finding the best constants in inequalitie...
A sharp Lp spectral multiplier theorem of Mihlin–Hörmander type is proved for a distinguished sub-La...
AbstractA continuous expansion ƒ(x) = ∝∞∞ ƒλ(x)h(λ)dλ is established for functions or distributions ...
In this paper, we prove that the Bergman projection extends continuously to a projection from harmon...
In this note we are concerned with estimates for the spectral projection operator Pµ associated with...
This thesis deals with three topics in Harmonic Analysis: 1. Sharp restriction theory; 2. Sparse d...
AbstractOn the setting of general bounded smooth domains in Rn, we construct L1-bounded nonorthogona...
AbstractIn this paper we study the (Lp, L2) mapping properties of a spectral projection operator for...
AbstractWe obtain optimal size estimates of the harmonic Bergman kernel and its derivatives on smoot...
As a consequence of integral bounds for three classes of quaternionic spherical harmon-ics, we prove...
We prove a sharp multiplier theorem of Mihlin–Hörmander type for the Grushin operator on the unit sp...
We give a survey of recent works concerning the mapping properties of joint harmonic projection oper...
"Harmonic Analysis and Nonlinear Partial Differential Equations". July 4～6, 2016. edited by Hideo Ku...
The $(k,a)$-generalised Fourier transform is the unitary operator defined using the $a$-deformed Dun...
We prove some sharp L^p-L^2 estimates for joint spectral projections, for p between 1 and 2, assoc...
\begin{abstract} In this paper we address the problem of finding the best constants in inequalitie...
A sharp Lp spectral multiplier theorem of Mihlin–Hörmander type is proved for a distinguished sub-La...
AbstractA continuous expansion ƒ(x) = ∝∞∞ ƒλ(x)h(λ)dλ is established for functions or distributions ...
In this paper, we prove that the Bergman projection extends continuously to a projection from harmon...
In this note we are concerned with estimates for the spectral projection operator Pµ associated with...