Abstract
In this paper, we obtain solution of Schrodinger equation in general Besov spaces. Precise results on and general Besov estimates of the maximal function of the solutions to the Schrodinger equation are given. The obtained results improve some recent results. Further, we shall consider estimates of general -norm and the general Besov type norm of integrals of this kind by means of the general Besov norm of the function f, and give -estimates of their maximal functions. Key words: Maximal function, general Besov norm, Schrodinger equation.
Highlights
The Schrödinger equation was formulated in 1926 by Austrian physicist Erwin Schrödinger
Precise results on L p and general Besov estimates of the maximal function of the solutions to the Schrodinger equation are given
In the standard interpretation of quantum mechanics, the quantum state, called a wave function or state vector, is the most complete description that can be given to a physical system
Summary
We obtain solution of Schrödinger equation in general Besov spaces. Precise results on L p and general Besov estimates of the maximal function of the solutions to the Schrodinger equation are given. The obtained results improve some recent results. We shall consider estimates of general L2 -norm and the general Besov type norm of integrals of this kind by means of the general Besov norm of the function f, and give L p -estimates of their maximal functions
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