# On generalized H\"{o}lder's inequality in weak Morrey Spaces

## TL;DR

This paper reestablishes a generalized H"{o}lder's inequality within weak Morrey spaces, providing sharper bounds by leveraging the relationship between weak Morrey and weak Lebesgue spaces.

## Contribution

It offers a new proof of the inequality with improved bounds, connecting weak Morrey and weak Lebesgue spaces.

## Key findings

- Sharper bounds for H"{o}lder's inequality in weak Morrey spaces
- Enhanced understanding of the relation between weak Morrey and weak Lebesgue spaces
- Reproves and extends previous results with improved estimates

## Abstract

In this note we reprove generalized H\"{o}lder's inequality in weak Morrey spaces. In particular, we get sharper bounds than those in \cite{gunawan2}. The bounds are obtained through the relation of weak Morrey spaces and weak Lebesgue spaces.