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The L^P-spaces of functions from the n-dimensional real space to the N-dimensional quaternionic space

The L^P-spaces of functions from the n-dimensional real space to the N-dimensional quaternionic space

In this paper, we introduce new definitions of the - spaces namely the - spaces Here, and are natural numbers that are not necessarily equal, such that . The space refers to the n-dimensional Euclidean space, refers to the quaternions set and refers to the N-dimensional quaternionic space. Furthermore, we …