Professor

I am Raghad Shamsah, researcher in harmonic analysis and some related fields (wavelets, Fourier series). Now I am working on some results related with your paper (on the almost every where convergence of wavelet summation methods). I stopped with the following questions.

1. The maximal function operator of $f$ in the Elias Stein paper (1976) is bounded on $L^p({\mathbb R}^ n)$, whenever $p > n/(n - 1)$, and $n \ge 3$. Does it stay bounded when we define the maximal function on the new space $L^2(S^2)$?

and

2. How can I define the maximal function operator when the function is in $L^2(S^2)$?

I hope that you can answer on my questions.

thanks

Raghad Shamsah MATHEMATICAL DEPARTMENT/INSPEM/ UNIVERSITY PUTRA MALAYSIA

I am working on some results related with a paper of Elias Stein (on the almost every where convergence of wavelet summation methods), and I have the following questions:

1. The maximal function operator of $f$ in the Elias Stein paper (1976) is bounded on $L^p({\mathbb R}^ n)$, whenever $p > n/(n - 1)$, and $n \ge 3$. Does it stay bounded when we define the maximal function on the new space $L^2(S^2)$?

and

2. How can I define the maximal function operator when the function is in $L^2(S^2)$?

Professor

I am Raghad Shamsah  , researcher in harmonic analysis and some related fields (wavelets, Fourier series). Now I am working on some results related with your paper (on the almost every where convergence of wavelet summation methods). I stopped with the following questions.

The maximal function operator of $f$ in the Elias Stein paper (1976) which is bounded on $L^p({\mathbb R}^ n)$, whenever $p > n/(n - 1)$, and $n$ bigger than or equal $3$. Is it stay bounded when we define the maximal function on new space $L^2(S^2)$?

and How can I define the maximal function operator when the function define on $L^2(S^2)$ ?

I hope that you can answer on my questions.

thanks

Raghad Shamsah MATHEMATICAL DEPARTMENT/INSPEM/ UNIVERSITY PUTRA MALAYSIA

Professor

I am Raghad Shamsah, researcher in harmonic analysis and some related fields (wavelets, Fourier series). Now I am working on some results related with your paper (on the almost every where convergence of wavelet summation methods). I stopped with the following questions.

1. The maximal function operator of $f$ in the Elias Stein paper (1976) is bounded on $L^p({\mathbb R}^ n)$, whenever $p > n/(n - 1)$, and $n \ge 3$. Does it stay bounded when we define the maximal function on the new space $L^2(S^2)$?

and

2. How can I define the maximal function operator when the function is in $L^2(S^2)$?

I hope that you can answer on my questions.

thanks

Raghad Shamsah MATHEMATICAL DEPARTMENT/INSPEM/ UNIVERSITY PUTRA MALAYSIA

Professor

I am Raghad Shamsah , researcher in harmonic analysis and some related fields (wavelets, Fourier series). Now I am working on some results related with your paper (on the almost every where convergence of wavelet summation methods). I stopped with the following questions.

The maximal function operator of f in the Elies Stein paper (1976) which is bounded on L^P(R^ n), whenever p > n/(n - 1), and n biger than or equal 3. Is it stay pounded when we define the maximal function on new space L^2(S^2)?

and How can I define the maximal function operator when the function define on L^2(S^2) ?

I hope that you can answer on my questions.

thanks

Raghad Shamsah MATHEMATICAL DEPARTMENT/INSPEM/ UNIVERSITY PUTRA MALAYSIA

Professor

I am Raghad Shamsah , researcher in harmonic analysis and some related fields (wavelets, Fourier series). Now I am working on some results related with your paper (on the almost every where convergence of wavelet summation methods). I stopped with the following questions.

The maximal function operator of $f$ in the Elias Stein paper (1976) which is bounded on $L^p({\mathbb R}^ n)$, whenever $p > n/(n - 1)$, and $n$ bigger than or equal $3$. Is it stay bounded when we define the maximal function on new space $L^2(S^2)$?

and How can I define the maximal function operator when the function define on $L^2(S^2)$ ?

I hope that you can answer on my questions.

thanks

Raghad Shamsah MATHEMATICAL DEPARTMENT/INSPEM/ UNIVERSITY PUTRA MALAYSIA