**DIPS 4/96**[tex source, PostScript, dvi]-
**Title:**Differential operators over quantum spaces**Author:**Alexander VerbovetskyThe topic of this paper is the development of a differential calculus on a quantum space covariant with respect to the action of a quantum group. Quantized differential operators, jets, the de Rham and Spencer complexes, etc. are constructed. Also the integration over a quantum space, adjoint operators, integral forms, Green's formula are discussed. The Wess-Zumino de Rham complex and the algebra of differential operators are treated as a basic example.

**To appear**in Acta Applicandae Math.28 pages. AmS-TeX. To compile source files (

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