Results 91 to 100 of about 2,482 (145)
Hardy’s inequalities and integral operators on Herz-Morrey spaces
We obtain some estimates for the operator norms of the dilation operators on Herz-Morrey spaces. These results give us the Hardy’s inequalities and the mapping properties of the integral operators on Herz-Morrey spaces.
Yee Tat-Leung, Ho Kwok-Pun
doaj +1 more source
Bellman function approach to the sharp constants in uniform convexity [PDF]
We illustrate Bellman function technique in finding the modulus of uniform convexity of $L^{p}$ spaces.Comment: 5 ...
Ivanisvili, Paata
core
A converse extrapolation theorem for translation invariant operators [PDF]
We prove the converse of Yano's extrapolation theorem for translation invariant operators.
arxiv
Φ-Admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces
We study the boundedness of Φ-admissible singular operators and their commutators on vanishing generalized Orlicz-Morrey spaces VMΦ,φ(Rn) including their weak versions. These conditions are satisfied by most of the operators in harmonic analysis, such as
V. Guliyev, F. Deringoz, J. Hasanov
semanticscholar +1 more source
Triakis Solids and Harmonic Functions [PDF]
We describe the harmonic functions for certain isohedral triakis solids. They are the first examples for which polyhedral harmonics is strictly larger than group harmonics.
arxiv
Bellman function approach to the sharp constants in uniform convexity [PDF]
We illustrate Bellman function technique in finding the modulus of uniform convexity of $L^{p}$ spaces.
arxiv
A note on restricted X-ray transforms [PDF]
We show how the techniques introduces by Christ can be employed to derive endpoint $L^p-L^q$ bounds for the X-ray transform associated to the line complex generated by the curve $t\to(t,t^2,...,t^{d-1}).$ Almost-sharp Lorentz space estimates are produced as well.
arxiv +1 more source
Fractional integral associated with Schrödinger operator on vanishing generalized Morrey spaces
Let L = − +V be a Schrödinger operator, where the non-negative potential V belongs to the reverse Hölder class RHn/2 , let b belong to a new BMOθ (ρ) space, and let I L β be the fractional integral operator associated with L . In this paper, we study the
A. Akbulut+3 more
semanticscholar +1 more source
Let L=−△+VL=-\bigtriangleup +V be the Schrödinger operator on Rn{{\mathbb{R}}}^{n}, where V≠0V\ne 0 is a non-negative function satisfying the reverse Hölder class RHq1R{H}_{{q}_{1}} for some q1>n⁄2{q}_{1}\gt n/2. △\bigtriangleup is the Laplacian on Rn{{\
Celik Suleyman+2 more
doaj +1 more source
A weighted estimate for generalized harmonic extensions [PDF]
We prove some weighted $L_p$ estimates for generalized harmonic extensions in the half-space.
arxiv