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In this paper we generalize the classical Strichartz estimation for solutionsof initial problem for linear parabolic and Schr\"odinger PDE on many popularclasses {\it pairs} of rearrangement invariant(r.i.) spaces and construct someexamples in order to show the exactness of our estimations.

Strichartz type Inequalities for Parabolic and Schr\"odinger Equations in rearrangement invariant Spaces