Vishvesh Kumar

activity

20182022

most cited

L^{p}

L^{q}

boundedness of pseudo-differential operators on smooth manifolds and its applications to nonlinear equations

6 citations · 17 across the 13 of their papers we have counts for

collaborators

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2 papers · 1 filter

math.SP2019

Dixmier traces for discrete pseudo-differential operators

Duván Cardona, César del Corral, Vishvesh Kumar

In this paper we provide sharp results for the Dixmier traceability of discrete pseudo-differential operators on $ℓ^{2} (Z^{n})$ . In this setting, we introduce a suitable no…

math.SP2019★ 2 cited

Ellipticity and Fredholmness of pseudo-differential operators on $\ell^2(\Zn)$

Aparajita Dasgupta, Vishvesh Kumar

The minimal operator and the maximal operator of an elliptic pseudo-differential operator with symbols on $Z^{n} \times T^{n}$ are proved to coincide and the domain is given i…