Okay kiddo, so have you ever played with building blocks? Imagine you have a big pile of building blocks and you need to sort them into different colors. The Riesz projector is like a special tool that helps you sort those building blocks.
You see, sometimes in math we have really complicated things called functions that are made up of lots of smaller pieces. The Riesz projector helps us break those big functions into smaller parts, kind of like how we break the building blocks into different colors.
The Riesz projector works by imagining a line going through the big function. We can think of this line as a ruler that helps us put the building blocks in order. The Riesz projector helps us find the pieces of the big function that are lined up with that ruler.
It's kind of like if you were sorting your building blocks by size, and you had a special tool that only picked up the blocks that were the right length to fit in a certain slot. The Riesz projector picks out the pieces of the big function that fit with the ruler, so we can study them separately and understand them better.
So, that's the Riesz projector - a special tool that helps us sort complicated functions into smaller parts that we can study more easily. Just like sorting building blocks by color or size!