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Autor: Arsu, Gruia

Let $\left( W,\sigma \right) $ be a symplectic vector space and let $% T:W\rightarrow W$ be a linear map that satisfies a certain condition of non-degeneracy. We define the Schur multiplier $\omega _{\sigma ,T}$ on $W$. To this multiplier we associat

Externí odkaz: http://arxiv.org/abs/2011.05981

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On Kato-Sobolev type spaces

Autor: Arsu, Gruia

We study an increasing family of spaces ${\mathcal{B}_{k}^{p}}_{1\leq p\leq \infty}$ by adapting the techniques used in the study of Beurling algebras by Coifman and Meyer (1978). A weak form Wiener-Levy theorem is proved based on an integral represe

Externí odkaz: http://arxiv.org/abs/1209.6465

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On Kato-Sobolev spaces

Autor: Arsu, Gruia

We investigate some multiplication properties of Kato-Sobolev spaces by adapting the techniques used in the study of Beurling algebras by Coifman and Meyer. We develop an analytic functional calculus for Kato-Sobolev algebras based on an integral rep

Externí odkaz: http://arxiv.org/abs/1110.6337

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On Kato-Sobolev spaces. The Wiener-L\'{e}vy theorem for Kato-Sobolev algebras $\mathcal{H}_{\mathtt{ul}}^{s}$

Autor: Arsu, Gruia

We investigate some multiplication properties of Kato-Sobolev spaces by adapting the techniques used in the study of Beurling algebras by Coifman and Meyer. Also we develop an analytic functional calculus for Kato-Sobolev algebras based on an integra

Externí odkaz: http://arxiv.org/abs/1010.0815

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On Schatten-von Neumann class properties of pseudo-differential operators. Boulkhemair's method

Autor: Arsu, Gruia

We investigate the Schatten-von Neumann properties of pseudo-differential operators using the method proposed by A. Boulkhemair in \cite{Boulkhemair 2}. The symbols are elements of the ideals $S_{w}^{p}$ of the Sj\"ostrand algebra $S_{w}$.

Externí odkaz: http://arxiv.org/abs/0910.5316

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On Schatten-von Neumann class properties of pseudo-differential operators. Cordes' lemma

Autor: Arsu, Gruia

We prove an extended version of Cordes' lemma concerning trace-class properties of some special pseudo-differential operators. This version of Cordes' lemma is used to improve the results in \cite{Arsu} concerning the Schatten-class properties of pse

Externí odkaz: http://arxiv.org/abs/math/0610397

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On Schatten-von Neumann class properties of pseudo-differential operators. The Cordes-Kato method

Autor: Arsu, Gruia

We investigate the Schatten-class properties of pseudo-differential operators with the (revisted) method of Cordes and Kato. As symbol classes we use classes similar to those of Cordes in which the $L^{\infty}$% -conditions are replaced by $L^{p}$-co

Externí odkaz: http://arxiv.org/abs/math/0511080

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