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The $$ {\left( {L^{p} ,\dot{F}^{{\beta ,\infty }}_{p} } \right)} $$ –Boundedness of Commutators of Multipliers

Acta Mathematica Sinica, English Series, 2004
In this paper, we study the commutator generalized by a multiplier and a Lipschitz function. Under some assumptions, we establish the boundedness properties of it from Lp(ℝn) into \( {\dot{F}^{{\beta ,\infty }}_{p} } \) (ℝn), the Triebel–Lizorkin spaces.
Pu Zhang, Jie Cheng Chen
openaire   +1 more source

LoTR: Low Tensor Rank Weight Adaptation

arXiv.org
In this paper we generalize and extend an idea of low-rank adaptation (LoRA) of large language models (LLMs) based on Transformer architecture. Widely used LoRA-like methods of fine-tuning LLMs are based on matrix factorization of gradient update.
Daniel Bershatsky   +4 more
semanticscholar   +1 more source

Left multipliers of reproducing kernel Hilbert C⁎-modules and the Papadakis theorem

Journal of Mathematical Analysis and Applications, 2022
Vladimir Manuilov, M S Moslehian
exaly  

b-Generalized derivations act as a multipliers on prime rings

Communications in Algebra, 2022
Balchand Prajapati   +2 more
exaly  

Generalized Multipliers for Left-Invertible Operators and Applications

Integral Equations and Operator Theory, 2020
Pawel Pietrzycki
exaly  

A Novel Design of Frequency Multipliers Using Composite Right/Left Handed Transmission Line and Defected Ground Structure

Asia-Pacific Microwave Conference, 2007
Kyungjun Song   +4 more
semanticscholar   +1 more source

Hörmander Type Multipliers on Anisotropic Hardy Spaces

Acta Mathematica Sinica. English series, 2019
Jiao Chen, Liang Huang
semanticscholar   +1 more source

Group-cograded Multiplier Hopf ${\left( { * {\text{ - }}} \right)}$ algebras

Algebras and Representation Theory, 2006
A. T. Abd El-Hafez   +2 more
openaire   +1 more source

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