Results 21 to 30 of about 766 (235)
Pointwise multipliers on martingale Campanato spaces [PDF]
We introduce generalized Campanato spaces $\mathcal{L}_{p,ϕ}$ on a probability space $(Ω,\mathcal{F},P)$, where $p\in[1,\infty)$ and $ϕ:(0,1]\to(0,\infty)$. If $p=1$ and $ϕ\equiv1$, then $\mathcal{L}_{p,ϕ}=\mathrm{BMO}$. We give a characterization of the set of all pointwise multipliers on $\mathcal{L}_{p,ϕ}$.
Nakai, Eiichi, Sadasue, Gaku
openaire +2 more sources
Pointwise multipliers of Orlicz spaces
Let \((\Omega,\Sigma,\mu)\) be a complete \(\sigma\)-finite measure space and let \(L^0(\Omega)\) denote the class of measurable functions on \(\Omega\). If \((X,\|\cdot\|_X)\), \((Y,\|\cdot\|_Y)\) are Banach spaces of functions in \(L^0(\Omega)\), then \(M(X,Y)\), the space of pointwise multipliers, is defined by \[ M(X,Y)= \{y\in L^0(W): xy\in Y\text{
Maligranda, Lech, Nakai, Eiichi
openaire +4 more sources
A Multiplier Theorem on Anisotropic Hardy Spaces
We present a multiplier theorem on anisotropic Hardy spaces. When m satisfies the anisotropic, pointwise Mihlin condition, we obtain boundedness of the multiplier operator Tm: → , for the range of p that depends on the eccentricities of the dilation A ...
Li-an Daniel Wang
core +1 more source
On pointwise a.e. convergence of multilinear operators
In this work we obtain the pointwise almost everywhere convergence for two families of multilinear operators: (a) truncated homogeneous singular integral operators associated with $L^q$ functions on the sphere and (b) lacunary multiplier operators of ...
Honzík, Petr +3 more
core
The optimal control problem for a nonlinear dynamic system of a cascade type with endpoint and irregular pointwise state constraints (the so-called state constraints of depth 2) is studied.
D.Yu. Karamzin
doaj +1 more source
Pointwise multipliers for Triebel–Lizorkin and Besov spaces on Lie groups
30 ...
Tommaso Bruno +2 more
openaire +3 more sources
ABSTRACT Hybrid modeling combines first‐principles equations with a data‐driven subcomponent. Training for the data‐driven part is sensitive to measurement noise when training targets are constructed using pointwise time derivatives. Beyond differentiation errors, hybrid models involve solving an inverse problem to estimate the data‐driven term, which ...
Hangjun Cho +4 more
wiley +1 more source
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
A Memristor‐Based In‐Memory Computing System‐on‐Chip with Efficient Depthwise Convolution
We present a memristor‐based in‐memory computing (IMC) architecture that enables efficient depthwise convolution (DWC) acceleration. Fabricated in a system‐on‐chip with crossbar arrays, the design improves memory utilization. Experimental validation demonstrates the first hardware acceleration of DWC in IMC, achieving a digital comparable inference ...
Wenhao Song +21 more
wiley +1 more source
On pointwise convergence of cone multipliers
For $p\ge 2$, and $λ>\max\{n|\tfrac 1p-\tfrac 12|-\tfrac12, 0\}$, we prove the pointwise convergence of cone multipliers, i.e. $$ \lim_{t\to\infty}T_t^λ(f)\to f \text{ a.e.},$$ where $f\in L^p(\mathbb R^n)$ satisfies $supp\ \widehat f\subset\{ξ\in\mathbb R^n:\ 1<|ξ_n|<2\}$.
Peng Chen +3 more
openaire +2 more sources

